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Simplifying 5(4x + -4) = 5(2x + 9) Reorder the terms: 5(-4 + 4x) = 5(2x + 9) (-4 * 5 + 4x * 5) = 5(2x + 9) (-20 + 20x) = 5(2x + 9) Reorder the terms: -20 + 20x = 5(9 + 2x) -20 + 20x = (9 * 5 + 2x * 5) -20 + 20x = (45 + 10x) Solving -20 + 20x = 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. -20 + 20x + -10x = 45 + 10x + -10x Combine like terms: 20x + -10x = 10x -20 + 10x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 -20 + 10x = 45 + 0 -20 + 10x = 45 Add '20' to each side of the equation. -20 + 20 + 10x = 45 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 45 + 20 10x = 45 + 20 Combine like terms: 45 + 20 = 65 10x = 65 Divide each side by '10'. x = 6.5 Simplifying x = 6.5
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