Question 12 Solve the following. \[ \begin{array}{l} x+7.94=2.34 \\ x=\square \end{array} \] Question Help: Video 1 Video 2 Submit Question Question 13 Solve the following. \[ \begin{array}{l} x+4.88=-5.72 \\ x=\square \end{array} \] Question Help: Video 1 Video 2 Submit Question Question 14 Solve the following. \[ \begin{array}{l} x-8.17=-4.67 \\ x=\square \end{array} \] Question Help: Video 1 Video 2 Submit Question
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The Deep Dive
To solve the equation \(x + 7.94 = 2.34\), we can isolate \(x\) by subtracting 7.94 from both sides. This gives us \(x = 2.34 - 7.94\), which results in \(x = -5.60\). For the equation \(x + 4.88 = -5.72\), we also want to isolate \(x\), so we subtract 4.88 from both sides to find \(x = -5.72 - 4.88\), leading to \(x = -10.60\). Moving on to \(x - 8.17 = -4.67\), we add 8.17 to both sides to get \(x = -4.67 + 8.17\), which simplifies to \(x = 3.50\). So the answers are: 1. \(x = -5.60\) 2. \(x = -10.60\) 3. \(x = 3.50\) Always ensure you're performing the same operation on both sides of the equation to keep it balanced!
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