QUESTION 1 higher and....... \( \begin{array}{rl}\text { 1. Solve for } x: \\ 1.1 & x+13=20 \\ 1.2 & x+13=5 \\ 1.3 & x-7=3 \\ 1.4 & x-2=-7 \\ 1.5 & 2 x=10 \\ 1.6 & 3 x-3=9 \\ 1.7 & 4 x+6=7 x-6\end{array} \)
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Bonus Knowledge
To solve each equation for \( x \), let's break it down step by step: 1.1 \( x + 13 = 20 \) Subtract 13 from both sides: \( x = 20 - 13 = 7 \) 1.2 \( x + 13 = 5 \) Subtract 13 from both sides: \( x = 5 - 13 = -8 \) 1.3 \( x - 7 = 3 \) Add 7 to both sides: \( x = 3 + 7 = 10 \) 1.4 \( x - 2 = -7 \) Add 2 to both sides: \( x = -7 + 2 = -5 \) 1.5 \( 2x = 10 \) Divide both sides by 2: \( x = 10 / 2 = 5 \) 1.6 \( 3x - 3 = 9 \) Add 3 to both sides: \( 3x = 9 + 3 = 12 \) Now divide by 3: \( x = 12 / 3 = 4 \) 1.7 \( 4x + 6 = 7x - 6 \) First, let's get all terms involving \( x \) on one side and constants on the other. Subtract \( 4x \) and add 6 to both sides: \( 6 + 6 = 7x - 4x \) \( 12 = 3x \) Now, divide by 3: \( x = 12 / 3 = 4 \) Here are the solutions: 1.1 \( x = 7 \) 1.2 \( x = -8 \) 1.3 \( x = 10 \) 1.4 \( x = -5 \) 1.5 \( x = 5 \) 1.6 \( x = 4 \) 1.7 \( x = 4 \)
