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Simplifying 2(4 + -2x) = -2(x + 10) (4 * 2 + -2x * 2) = -2(x + 10) (8 + -4x) = -2(x + 10) Reorder the terms: 8 + -4x = -2(10 + x) 8 + -4x = (10 * -2 + x * -2) 8 + -4x = (-20 + -2x) Solving 8 + -4x = -20 + -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 = -20 + -2x + 2x Combine like terms: -4x + 2x = -2x 8 + -2x = -20 + -2x + 2x Combine like terms: -2x + 2x = 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 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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