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Simplifying 2(2x + 5) = 5(2x + -2) Reorder the terms: 2(5 + 2x) = 5(2x + -2) (5 * 2 + 2x * 2) = 5(2x + -2) (10 + 4x) = 5(2x + -2) Reorder the terms: 10 + 4x = 5(-2 + 2x) 10 + 4x = (-2 * 5 + 2x * 5) 10 + 4x = (-10 + 10x) Solving 10 + 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. 10 + 4x + -10x = -10 + 10x + -10x Combine like terms: 4x + -10x = -6x 10 + -6x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -6x = -10 + 0 10 + -6x = -10 Add '-10' to each side of the equation. 10 + -10 + -6x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -10 + -10 -6x = -10 + -10 Combine like terms: -10 + -10 = -20 -6x = -20 Divide each side by '-6'. x = 3.333333333 Simplifying x = 3.333333333
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