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Simplifying -8x + -4 + 10x + -12 = -2(8 + 5x) + 8(12 + x) Reorder the terms: -4 + -12 + -8x + 10x = -2(8 + 5x) + 8(12 + x) Combine like terms: -4 + -12 = -16 -16 + -8x + 10x = -2(8 + 5x) + 8(12 + x) Combine like terms: -8x + 10x = 2x -16 + 2x = -2(8 + 5x) + 8(12 + x) -16 + 2x = (8 * -2 + 5x * -2) + 8(12 + x) -16 + 2x = (-16 + -10x) + 8(12 + x) -16 + 2x = -16 + -10x + (12 * 8 + x * 8) -16 + 2x = -16 + -10x + (96 + 8x) Reorder the terms: -16 + 2x = -16 + 96 + -10x + 8x Combine like terms: -16 + 96 = 80 -16 + 2x = 80 + -10x + 8x Combine like terms: -10x + 8x = -2x -16 + 2x = 80 + -2x Solving -16 + 2x = 80 + -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. -16 + 2x + 2x = 80 + -2x + 2x Combine like terms: 2x + 2x = 4x -16 + 4x = 80 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 4x = 80 + 0 -16 + 4x = 80 Add '16' to each side of the equation. -16 + 16 + 4x = 80 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 80 + 16 4x = 80 + 16 Combine like terms: 80 + 16 = 96 4x = 96 Divide each side by '4'. x = 24 Simplifying x = 24
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