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Simplifying 5(2 + -2x) = 2(2x + -9) (2 * 5 + -2x * 5) = 2(2x + -9) (10 + -10x) = 2(2x + -9) Reorder the terms: 10 + -10x = 2(-9 + 2x) 10 + -10x = (-9 * 2 + 2x * 2) 10 + -10x = (-18 + 4x) Solving 10 + -10x = -18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + -10x + -4x = -18 + 4x + -4x Combine like terms: -10x + -4x = -14x 10 + -14x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -14x = -18 + 0 10 + -14x = -18 Add '-10' to each side of the equation. 10 + -10 + -14x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -14x = -18 + -10 -14x = -18 + -10 Combine like terms: -18 + -10 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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