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Simplifying 5(x + 1) + -1(2x + -4) = 2(5x + -5) + -9 Reorder the terms: 5(1 + x) + -1(2x + -4) = 2(5x + -5) + -9 (1 * 5 + x * 5) + -1(2x + -4) = 2(5x + -5) + -9 (5 + 5x) + -1(2x + -4) = 2(5x + -5) + -9 Reorder the terms: 5 + 5x + -1(-4 + 2x) = 2(5x + -5) + -9 5 + 5x + (-4 * -1 + 2x * -1) = 2(5x + -5) + -9 5 + 5x + (4 + -2x) = 2(5x + -5) + -9 Reorder the terms: 5 + 4 + 5x + -2x = 2(5x + -5) + -9 Combine like terms: 5 + 4 = 9 9 + 5x + -2x = 2(5x + -5) + -9 Combine like terms: 5x + -2x = 3x 9 + 3x = 2(5x + -5) + -9 Reorder the terms: 9 + 3x = 2(-5 + 5x) + -9 9 + 3x = (-5 * 2 + 5x * 2) + -9 9 + 3x = (-10 + 10x) + -9 Reorder the terms: 9 + 3x = -10 + -9 + 10x Combine like terms: -10 + -9 = -19 9 + 3x = -19 + 10x Solving 9 + 3x = -19 + 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. 9 + 3x + -10x = -19 + 10x + -10x Combine like terms: 3x + -10x = -7x 9 + -7x = -19 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -7x = -19 + 0 9 + -7x = -19 Add '-9' to each side of the equation. 9 + -9 + -7x = -19 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = -19 + -9 -7x = -19 + -9 Combine like terms: -19 + -9 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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