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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 = 14 14 + -2x = 24 + -1(x + -6) Reorder the terms: 14 + -2x = 24 + -1(-6 + x) 14 + -2x = 24 + (-6 * -1 + x * -1) 14 + -2x = 24 + (6 + -1x) Combine like terms: 24 + 6 = 30 14 + -2x = 30 + -1x Solving 14 + -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. 14 + -2x + x = 30 + -1x + x Combine like terms: -2x + x = -1x 14 + -1x = 30 + -1x + x Combine like terms: -1x + x = 0 14 + -1x = 30 + 0 14 + -1x = 30 Add '-14' to each side of the equation. 14 + -14 + -1x = 30 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 30 + -14 -1x = 30 + -14 Combine like terms: 30 + -14 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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