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Simplifying -3(x + -4) = 10x + -1(8x + 8) Reorder the terms: -3(-4 + x) = 10x + -1(8x + 8) (-4 * -3 + x * -3) = 10x + -1(8x + 8) (12 + -3x) = 10x + -1(8x + 8) Reorder the terms: 12 + -3x = 10x + -1(8 + 8x) 12 + -3x = 10x + (8 * -1 + 8x * -1) 12 + -3x = 10x + (-8 + -8x) Reorder the terms: 12 + -3x = -8 + 10x + -8x Combine like terms: 10x + -8x = 2x 12 + -3x = -8 + 2x Solving 12 + -3x = -8 + 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. 12 + -3x + -2x = -8 + 2x + -2x Combine like terms: -3x + -2x = -5x 12 + -5x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -5x = -8 + 0 12 + -5x = -8 Add '-12' to each side of the equation. 12 + -12 + -5x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -8 + -12 -5x = -8 + -12 Combine like terms: -8 + -12 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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