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Simplifying -5(2x + -2) = 2(1 + -4x) Reorder the terms: -5(-2 + 2x) = 2(1 + -4x) (-2 * -5 + 2x * -5) = 2(1 + -4x) (10 + -10x) = 2(1 + -4x) 10 + -10x = (1 * 2 + -4x * 2) 10 + -10x = (2 + -8x) Solving 10 + -10x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + -10x + 8x = 2 + -8x + 8x Combine like terms: -10x + 8x = -2x 10 + -2x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + -2x = 2 + 0 10 + -2x = 2 Add '-10' to each side of the equation. 10 + -10 + -2x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 2 + -10 -2x = 2 + -10 Combine like terms: 2 + -10 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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