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Simplifying -2(-5x + 2) = 5(9 + -2x) Reorder the terms: -2(2 + -5x) = 5(9 + -2x) (2 * -2 + -5x * -2) = 5(9 + -2x) (-4 + 10x) = 5(9 + -2x) -4 + 10x = (9 * 5 + -2x * 5) -4 + 10x = (45 + -10x) Solving -4 + 10x = 45 + -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. -4 + 10x + 10x = 45 + -10x + 10x Combine like terms: 10x + 10x = 20x -4 + 20x = 45 + -10x + 10x Combine like terms: -10x + 10x = 0 -4 + 20x = 45 + 0 -4 + 20x = 45 Add '4' to each side of the equation. -4 + 4 + 20x = 45 + 4 Combine like terms: -4 + 4 = 0 0 + 20x = 45 + 4 20x = 45 + 4 Combine like terms: 45 + 4 = 49 20x = 49 Divide each side by '20'. x = 2.45 Simplifying x = 2.45
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