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