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Simplifying 5(x + 4) + -1(x + -8) = 0 Reorder the terms: 5(4 + x) + -1(x + -8) = 0 (4 * 5 + x * 5) + -1(x + -8) = 0 (20 + 5x) + -1(x + -8) = 0 Reorder the terms: 20 + 5x + -1(-8 + x) = 0 20 + 5x + (-8 * -1 + x * -1) = 0 20 + 5x + (8 + -1x) = 0 Reorder the terms: 20 + 8 + 5x + -1x = 0 Combine like terms: 20 + 8 = 28 28 + 5x + -1x = 0 Combine like terms: 5x + -1x = 4x 28 + 4x = 0 Solving 28 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 4x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 0 + -28 4x = 0 + -28 Combine like terms: 0 + -28 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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