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Simplifying 7 + -2(-5x + -9) + 2 = 4(2x + -1) + 3(x + 12) Reorder the terms: 7 + -2(-9 + -5x) + 2 = 4(2x + -1) + 3(x + 12) 7 + (-9 * -2 + -5x * -2) + 2 = 4(2x + -1) + 3(x + 12) 7 + (18 + 10x) + 2 = 4(2x + -1) + 3(x + 12) Reorder the terms: 7 + 18 + 2 + 10x = 4(2x + -1) + 3(x + 12) Combine like terms: 7 + 18 = 25 25 + 2 + 10x = 4(2x + -1) + 3(x + 12) Combine like terms: 25 + 2 = 27 27 + 10x = 4(2x + -1) + 3(x + 12) Reorder the terms: 27 + 10x = 4(-1 + 2x) + 3(x + 12) 27 + 10x = (-1 * 4 + 2x * 4) + 3(x + 12) 27 + 10x = (-4 + 8x) + 3(x + 12) Reorder the terms: 27 + 10x = -4 + 8x + 3(12 + x) 27 + 10x = -4 + 8x + (12 * 3 + x * 3) 27 + 10x = -4 + 8x + (36 + 3x) Reorder the terms: 27 + 10x = -4 + 36 + 8x + 3x Combine like terms: -4 + 36 = 32 27 + 10x = 32 + 8x + 3x Combine like terms: 8x + 3x = 11x 27 + 10x = 32 + 11x Solving 27 + 10x = 32 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 27 + 10x + -11x = 32 + 11x + -11x Combine like terms: 10x + -11x = -1x 27 + -1x = 32 + 11x + -11x Combine like terms: 11x + -11x = 0 27 + -1x = 32 + 0 27 + -1x = 32 Add '-27' to each side of the equation. 27 + -27 + -1x = 32 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 32 + -27 -1x = 32 + -27 Combine like terms: 32 + -27 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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