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Simplifying 8 = 3(x + -4) + -1(x + -8) Reorder the terms: 8 = 3(-4 + x) + -1(x + -8) 8 = (-4 * 3 + x * 3) + -1(x + -8) 8 = (-12 + 3x) + -1(x + -8) Reorder the terms: 8 = -12 + 3x + -1(-8 + x) 8 = -12 + 3x + (-8 * -1 + x * -1) 8 = -12 + 3x + (8 + -1x) Reorder the terms: 8 = -12 + 8 + 3x + -1x Combine like terms: -12 + 8 = -4 8 = -4 + 3x + -1x Combine like terms: 3x + -1x = 2x 8 = -4 + 2x Solving 8 = -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. 8 + -2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -2x = -4 + 0 8 + -2x = -4 Add '-8' to each side of the equation. 8 + -8 + -2x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -4 + -8 -2x = -4 + -8 Combine like terms: -4 + -8 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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