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Simplifying 12 + -1(x + 9) = 8x + -6 Reorder the terms: 12 + -1(9 + x) = 8x + -6 12 + (9 * -1 + x * -1) = 8x + -6 12 + (-9 + -1x) = 8x + -6 Combine like terms: 12 + -9 = 3 3 + -1x = 8x + -6 Reorder the terms: 3 + -1x = -6 + 8x Solving 3 + -1x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + -1x + -8x = -6 + 8x + -8x Combine like terms: -1x + -8x = -9x 3 + -9x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -9x = -6 + 0 3 + -9x = -6 Add '-3' to each side of the equation. 3 + -3 + -9x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = -6 + -3 -9x = -6 + -3 Combine like terms: -6 + -3 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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