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Simplifying 5(x + 4) + -1(2x + -4) = 0 Reorder the terms: 5(4 + x) + -1(2x + -4) = 0 (4 * 5 + x * 5) + -1(2x + -4) = 0 (20 + 5x) + -1(2x + -4) = 0 Reorder the terms: 20 + 5x + -1(-4 + 2x) = 0 20 + 5x + (-4 * -1 + 2x * -1) = 0 20 + 5x + (4 + -2x) = 0 Reorder the terms: 20 + 4 + 5x + -2x = 0 Combine like terms: 20 + 4 = 24 24 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x 24 + 3x = 0 Solving 24 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 3x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 0 + -24 3x = 0 + -24 Combine like terms: 0 + -24 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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