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Simplifying 5(x + 2) + -1(3x + -6) = 0 Reorder the terms: 5(2 + x) + -1(3x + -6) = 0 (2 * 5 + x * 5) + -1(3x + -6) = 0 (10 + 5x) + -1(3x + -6) = 0 Reorder the terms: 10 + 5x + -1(-6 + 3x) = 0 10 + 5x + (-6 * -1 + 3x * -1) = 0 10 + 5x + (6 + -3x) = 0 Reorder the terms: 10 + 6 + 5x + -3x = 0 Combine like terms: 10 + 6 = 16 16 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 16 + 2x = 0 Solving 16 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 0 + -16 2x = 0 + -16 Combine like terms: 0 + -16 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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