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Simplifying -2(3x + -4) = 4(5 + -1x) Reorder the terms: -2(-4 + 3x) = 4(5 + -1x) (-4 * -2 + 3x * -2) = 4(5 + -1x) (8 + -6x) = 4(5 + -1x) 8 + -6x = (5 * 4 + -1x * 4) 8 + -6x = (20 + -4x) Solving 8 + -6x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + -6x + 4x = 20 + -4x + 4x Combine like terms: -6x + 4x = -2x 8 + -2x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + -2x = 20 + 0 8 + -2x = 20 Add '-8' to each side of the equation. 8 + -8 + -2x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 20 + -8 -2x = 20 + -8 Combine like terms: 20 + -8 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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