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Simplifying -3(x + 8) = 7 + -2x Reorder the terms: -3(8 + x) = 7 + -2x (8 * -3 + x * -3) = 7 + -2x (-24 + -3x) = 7 + -2x Solving -24 + -3x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -24 + -3x + 2x = 7 + -2x + 2x Combine like terms: -3x + 2x = -1x -24 + -1x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + -1x = 7 + 0 -24 + -1x = 7 Add '24' to each side of the equation. -24 + 24 + -1x = 7 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 7 + 24 -1x = 7 + 24 Combine like terms: 7 + 24 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31
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