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Simplifying 2(4 + -2x) = -2(x + 5) (4 * 2 + -2x * 2) = -2(x + 5) (8 + -4x) = -2(x + 5) Reorder the terms: 8 + -4x = -2(5 + x) 8 + -4x = (5 * -2 + x * -2) 8 + -4x = (-10 + -2x) Solving 8 + -4x = -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 + -4x + 2x = -10 + -2x + 2x Combine like terms: -4x + 2x = -2x 8 + -2x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -2x = -10 + 0 8 + -2x = -10 Add '-8' to each side of the equation. 8 + -8 + -2x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -10 + -8 -2x = -10 + -8 Combine like terms: -10 + -8 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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