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Simplifying -8(x + 3) = x + 12 Reorder the terms: -8(3 + x) = x + 12 (3 * -8 + x * -8) = x + 12 (-24 + -8x) = x + 12 Reorder the terms: -24 + -8x = 12 + x Solving -24 + -8x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -24 + -8x + -1x = 12 + x + -1x Combine like terms: -8x + -1x = -9x -24 + -9x = 12 + x + -1x Combine like terms: x + -1x = 0 -24 + -9x = 12 + 0 -24 + -9x = 12 Add '24' to each side of the equation. -24 + 24 + -9x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -9x = 12 + 24 -9x = 12 + 24 Combine like terms: 12 + 24 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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