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Simplifying 7 + -2(-5x + -8) + 2x = 4(2x + -1) + 3(x + 12) Reorder the terms: 7 + -2(-8 + -5x) + 2x = 4(2x + -1) + 3(x + 12) 7 + (-8 * -2 + -5x * -2) + 2x = 4(2x + -1) + 3(x + 12) 7 + (16 + 10x) + 2x = 4(2x + -1) + 3(x + 12) Combine like terms: 7 + 16 = 23 23 + 10x + 2x = 4(2x + -1) + 3(x + 12) Combine like terms: 10x + 2x = 12x 23 + 12x = 4(2x + -1) + 3(x + 12) Reorder the terms: 23 + 12x = 4(-1 + 2x) + 3(x + 12) 23 + 12x = (-1 * 4 + 2x * 4) + 3(x + 12) 23 + 12x = (-4 + 8x) + 3(x + 12) Reorder the terms: 23 + 12x = -4 + 8x + 3(12 + x) 23 + 12x = -4 + 8x + (12 * 3 + x * 3) 23 + 12x = -4 + 8x + (36 + 3x) Reorder the terms: 23 + 12x = -4 + 36 + 8x + 3x Combine like terms: -4 + 36 = 32 23 + 12x = 32 + 8x + 3x Combine like terms: 8x + 3x = 11x 23 + 12x = 32 + 11x Solving 23 + 12x = 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. 23 + 12x + -11x = 32 + 11x + -11x Combine like terms: 12x + -11x = 1x 23 + 1x = 32 + 11x + -11x Combine like terms: 11x + -11x = 0 23 + 1x = 32 + 0 23 + 1x = 32 Add '-23' to each side of the equation. 23 + -23 + 1x = 32 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 32 + -23 1x = 32 + -23 Combine like terms: 32 + -23 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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