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Simplifying 8x + -1(2x + -3) = 3(x + -4) Reorder the terms: 8x + -1(-3 + 2x) = 3(x + -4) 8x + (-3 * -1 + 2x * -1) = 3(x + -4) 8x + (3 + -2x) = 3(x + -4) Reorder the terms: 3 + 8x + -2x = 3(x + -4) Combine like terms: 8x + -2x = 6x 3 + 6x = 3(x + -4) Reorder the terms: 3 + 6x = 3(-4 + x) 3 + 6x = (-4 * 3 + x * 3) 3 + 6x = (-12 + 3x) Solving 3 + 6x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x 3 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 3x = -12 + 0 3 + 3x = -12 Add '-3' to each side of the equation. 3 + -3 + 3x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -12 + -3 3x = -12 + -3 Combine like terms: -12 + -3 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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