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Simplifying 4(2 + -1x) = -3(x + 4) (2 * 4 + -1x * 4) = -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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