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Simplifying 8 + -2(x + 3) = 24 + -1(x + -6) Reorder the terms: 8 + -2(3 + x) = 24 + -1(x + -6) 8 + (3 * -2 + x * -2) = 24 + -1(x + -6) 8 + (-6 + -2x) = 24 + -1(x + -6) Combine like terms: 8 + -6 = 2 2 + -2x = 24 + -1(x + -6) Reorder the terms: 2 + -2x = 24 + -1(-6 + x) 2 + -2x = 24 + (-6 * -1 + x * -1) 2 + -2x = 24 + (6 + -1x) Combine like terms: 24 + 6 = 30 2 + -2x = 30 + -1x Solving 2 + -2x = 30 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + -2x + x = 30 + -1x + x Combine like terms: -2x + x = -1x 2 + -1x = 30 + -1x + x Combine like terms: -1x + x = 0 2 + -1x = 30 + 0 2 + -1x = 30 Add '-2' to each side of the equation. 2 + -2 + -1x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 30 + -2 -1x = 30 + -2 Combine like terms: 30 + -2 = 28 -1x = 28 Divide each side by '-1'. x = -28 Simplifying x = -28
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