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Simplifying 5(x + 2) + -1(3x + -8) = 0 Reorder the terms: 5(2 + x) + -1(3x + -8) = 0 (2 * 5 + x * 5) + -1(3x + -8) = 0 (10 + 5x) + -1(3x + -8) = 0 Reorder the terms: 10 + 5x + -1(-8 + 3x) = 0 10 + 5x + (-8 * -1 + 3x * -1) = 0 10 + 5x + (8 + -3x) = 0 Reorder the terms: 10 + 8 + 5x + -3x = 0 Combine like terms: 10 + 8 = 18 18 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 18 + 2x = 0 Solving 18 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 0 + -18 2x = 0 + -18 Combine like terms: 0 + -18 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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