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Simplifying 2(2x + -5) = 5(3 + x) Reorder the terms: 2(-5 + 2x) = 5(3 + x) (-5 * 2 + 2x * 2) = 5(3 + x) (-10 + 4x) = 5(3 + x) -10 + 4x = (3 * 5 + x * 5) -10 + 4x = (15 + 5x) Solving -10 + 4x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 4x + -5x = 15 + 5x + -5x Combine like terms: 4x + -5x = -1x -10 + -1x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -1x = 15 + 0 -10 + -1x = 15 Add '10' to each side of the equation. -10 + 10 + -1x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 15 + 10 -1x = 15 + 10 Combine like terms: 15 + 10 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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