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Simplifying -2(x + -5) = 3(2 + -4x) Reorder the terms: -2(-5 + x) = 3(2 + -4x) (-5 * -2 + x * -2) = 3(2 + -4x) (10 + -2x) = 3(2 + -4x) 10 + -2x = (2 * 3 + -4x * 3) 10 + -2x = (6 + -12x) Solving 10 + -2x = 6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 10 + -2x + 12x = 6 + -12x + 12x Combine like terms: -2x + 12x = 10x 10 + 10x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 10x = 6 + 0 10 + 10x = 6 Add '-10' to each side of the equation. 10 + -10 + 10x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = 6 + -10 10x = 6 + -10 Combine like terms: 6 + -10 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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