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Simplifying (2x + -9) + 2 = 3(x + 8) Reorder the terms: (-9 + 2x) + 2 = 3(x + 8) Remove parenthesis around (-9 + 2x) -9 + 2x + 2 = 3(x + 8) Reorder the terms: -9 + 2 + 2x = 3(x + 8) Combine like terms: -9 + 2 = -7 -7 + 2x = 3(x + 8) Reorder the terms: -7 + 2x = 3(8 + x) -7 + 2x = (8 * 3 + x * 3) -7 + 2x = (24 + 3x) Solving -7 + 2x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 2x + -3x = 24 + 3x + -3x Combine like terms: 2x + -3x = -1x -7 + -1x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -1x = 24 + 0 -7 + -1x = 24 Add '7' to each side of the equation. -7 + 7 + -1x = 24 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 24 + 7 -1x = 24 + 7 Combine like terms: 24 + 7 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31
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