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