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Simplifying 12 + 3(8 + -1x) = 9 + -6(x + 4) 12 + (8 * 3 + -1x * 3) = 9 + -6(x + 4) 12 + (24 + -3x) = 9 + -6(x + 4) Combine like terms: 12 + 24 = 36 36 + -3x = 9 + -6(x + 4) Reorder the terms: 36 + -3x = 9 + -6(4 + x) 36 + -3x = 9 + (4 * -6 + x * -6) 36 + -3x = 9 + (-24 + -6x) Combine like terms: 9 + -24 = -15 36 + -3x = -15 + -6x Solving 36 + -3x = -15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 36 + -3x + 6x = -15 + -6x + 6x Combine like terms: -3x + 6x = 3x 36 + 3x = -15 + -6x + 6x Combine like terms: -6x + 6x = 0 36 + 3x = -15 + 0 36 + 3x = -15 Add '-36' to each side of the equation. 36 + -36 + 3x = -15 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = -15 + -36 3x = -15 + -36 Combine like terms: -15 + -36 = -51 3x = -51 Divide each side by '3'. x = -17 Simplifying x = -17
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