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Simplifying -5(x + 1) + 8x + -12 = 2(x + 2) + -8 Reorder the terms: -5(1 + x) + 8x + -12 = 2(x + 2) + -8 (1 * -5 + x * -5) + 8x + -12 = 2(x + 2) + -8 (-5 + -5x) + 8x + -12 = 2(x + 2) + -8 Reorder the terms: -5 + -12 + -5x + 8x = 2(x + 2) + -8 Combine like terms: -5 + -12 = -17 -17 + -5x + 8x = 2(x + 2) + -8 Combine like terms: -5x + 8x = 3x -17 + 3x = 2(x + 2) + -8 Reorder the terms: -17 + 3x = 2(2 + x) + -8 -17 + 3x = (2 * 2 + x * 2) + -8 -17 + 3x = (4 + 2x) + -8 Reorder the terms: -17 + 3x = 4 + -8 + 2x Combine like terms: 4 + -8 = -4 -17 + 3x = -4 + 2x Solving -17 + 3x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 3x + -2x = -4 + 2x + -2x Combine like terms: 3x + -2x = 1x -17 + 1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 1x = -4 + 0 -17 + 1x = -4 Add '17' to each side of the equation. -17 + 17 + 1x = -4 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -4 + 17 1x = -4 + 17 Combine like terms: -4 + 17 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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