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