Simplify the following expression: \[ 7-14\{x-8[3-5(2 x-3)+3 x]-10\} \] \( =\square \) E \( x+\square \) If the answer is negative, put the negative sign as well
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To simplify the expression, let's start by breaking it down step-by-step: 1. Inside the innermost parentheses: \[ 5(2x - 3) = 10x - 15 \] 2. The expression now looks like: \[ 7 - 14\{x - 8[3 - (10x - 15) + 3x] - 10\} \] 3. Simplifying \(3 - (10x - 15) + 3x\): \[ 3 - 10x + 15 + 3x = 18 - 7x \] 4. Now the expression is: \[ 7 - 14\{x - 8(18 - 7x) - 10\} \] 5. Expanding: \[ 8(18 - 7x) = 144 - 56x \] Thus, the expression inside the braces now becomes: \[ x - 144 + 56x - 10 = 57x - 154 \] 6. Now we have: \[ 7 - 14(57x - 154) \] 7. Distributing the -14: \[ 7 - 798x + 2156 \] This simplifies to: \[ 2163 - 798x \] So the final result is: \[ = -798x + 2163 \] Thus, the final answer is: \[ = 2163 - 798x \]