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Simplifying 5(x + 1) + -1(2x + -4) = 0 Reorder the terms: 5(1 + x) + -1(2x + -4) = 0 (1 * 5 + x * 5) + -1(2x + -4) = 0 (5 + 5x) + -1(2x + -4) = 0 Reorder the terms: 5 + 5x + -1(-4 + 2x) = 0 5 + 5x + (-4 * -1 + 2x * -1) = 0 5 + 5x + (4 + -2x) = 0 Reorder the terms: 5 + 4 + 5x + -2x = 0 Combine like terms: 5 + 4 = 9 9 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x 9 + 3x = 0 Solving 9 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 0 + -9 3x = 0 + -9 Combine like terms: 0 + -9 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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