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Simplifying 5(4x + -1) + -2(5x + -5) = 20(x + 1) Reorder the terms: 5(-1 + 4x) + -2(5x + -5) = 20(x + 1) (-1 * 5 + 4x * 5) + -2(5x + -5) = 20(x + 1) (-5 + 20x) + -2(5x + -5) = 20(x + 1) Reorder the terms: -5 + 20x + -2(-5 + 5x) = 20(x + 1) -5 + 20x + (-5 * -2 + 5x * -2) = 20(x + 1) -5 + 20x + (10 + -10x) = 20(x + 1) Reorder the terms: -5 + 10 + 20x + -10x = 20(x + 1) Combine like terms: -5 + 10 = 5 5 + 20x + -10x = 20(x + 1) Combine like terms: 20x + -10x = 10x 5 + 10x = 20(x + 1) Reorder the terms: 5 + 10x = 20(1 + x) 5 + 10x = (1 * 20 + x * 20) 5 + 10x = (20 + 20x) Solving 5 + 10x = 20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 5 + 10x + -20x = 20 + 20x + -20x Combine like terms: 10x + -20x = -10x 5 + -10x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 5 + -10x = 20 + 0 5 + -10x = 20 Add '-5' to each side of the equation. 5 + -5 + -10x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = 20 + -5 -10x = 20 + -5 Combine like terms: 20 + -5 = 15 -10x = 15 Divide each side by '-10'. x = -1.5 Simplifying x = -1.5
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