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Simplifying 5(x + 3) + -1(2x + -8) = 0 Reorder the terms: 5(3 + x) + -1(2x + -8) = 0 (3 * 5 + x * 5) + -1(2x + -8) = 0 (15 + 5x) + -1(2x + -8) = 0 Reorder the terms: 15 + 5x + -1(-8 + 2x) = 0 15 + 5x + (-8 * -1 + 2x * -1) = 0 15 + 5x + (8 + -2x) = 0 Reorder the terms: 15 + 8 + 5x + -2x = 0 Combine like terms: 15 + 8 = 23 23 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x 23 + 3x = 0 Solving 23 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 3x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 0 + -23 3x = 0 + -23 Combine like terms: 0 + -23 = -23 3x = -23 Divide each side by '3'. x = -7.666666667 Simplifying x = -7.666666667
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