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Simplifying 3(x + -8) + -2x = -1(x + 24) Reorder the terms: 3(-8 + x) + -2x = -1(x + 24) (-8 * 3 + x * 3) + -2x = -1(x + 24) (-24 + 3x) + -2x = -1(x + 24) Combine like terms: 3x + -2x = 1x -24 + 1x = -1(x + 24) Reorder the terms: -24 + 1x = -1(24 + x) -24 + 1x = (24 * -1 + x * -1) -24 + 1x = (-24 + -1x) Add '24' to each side of the equation. -24 + 24 + 1x = -24 + 24 + -1x Combine like terms: -24 + 24 = 0 0 + 1x = -24 + 24 + -1x 1x = -24 + 24 + -1x Combine like terms: -24 + 24 = 0 1x = 0 + -1x 1x = -1x Solving 1x = -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. 1x + x = -1x + x Combine like terms: 1x + x = 2x 2x = -1x + x Combine like terms: -1x + x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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