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Simplifying 12 + -5(x + -3) = 6 + -8x Reorder the terms: 12 + -5(-3 + x) = 6 + -8x 12 + (-3 * -5 + x * -5) = 6 + -8x 12 + (15 + -5x) = 6 + -8x Combine like terms: 12 + 15 = 27 27 + -5x = 6 + -8x Solving 27 + -5x = 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. 27 + -5x + 8x = 6 + -8x + 8x Combine like terms: -5x + 8x = 3x 27 + 3x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 27 + 3x = 6 + 0 27 + 3x = 6 Add '-27' to each side of the equation. 27 + -27 + 3x = 6 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 6 + -27 3x = 6 + -27 Combine like terms: 6 + -27 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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