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Simplifying 4(2 + -3x) = -2(x + -5) (2 * 4 + -3x * 4) = -2(x + -5) (8 + -12x) = -2(x + -5) Reorder the terms: 8 + -12x = -2(-5 + x) 8 + -12x = (-5 * -2 + x * -2) 8 + -12x = (10 + -2x) Solving 8 + -12x = 10 + -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 + -12x + 2x = 10 + -2x + 2x Combine like terms: -12x + 2x = -10x 8 + -10x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -10x = 10 + 0 8 + -10x = 10 Add '-8' to each side of the equation. 8 + -8 + -10x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = 10 + -8 -10x = 10 + -8 Combine like terms: 10 + -8 = 2 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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