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Simplifying 2(x + 8) + -3(x + -6) = 24 Reorder the terms: 2(8 + x) + -3(x + -6) = 24 (8 * 2 + x * 2) + -3(x + -6) = 24 (16 + 2x) + -3(x + -6) = 24 Reorder the terms: 16 + 2x + -3(-6 + x) = 24 16 + 2x + (-6 * -3 + x * -3) = 24 16 + 2x + (18 + -3x) = 24 Reorder the terms: 16 + 18 + 2x + -3x = 24 Combine like terms: 16 + 18 = 34 34 + 2x + -3x = 24 Combine like terms: 2x + -3x = -1x 34 + -1x = 24 Solving 34 + -1x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -1x = 24 + -34 Combine like terms: 34 + -34 = 0 0 + -1x = 24 + -34 -1x = 24 + -34 Combine like terms: 24 + -34 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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