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Simplifying 12 + 2x = 3(-1x + 8) + -27 Reorder the terms: 12 + 2x = 3(8 + -1x) + -27 12 + 2x = (8 * 3 + -1x * 3) + -27 12 + 2x = (24 + -3x) + -27 Reorder the terms: 12 + 2x = 24 + -27 + -3x Combine like terms: 24 + -27 = -3 12 + 2x = -3 + -3x Solving 12 + 2x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 2x + 3x = -3 + -3x + 3x Combine like terms: 2x + 3x = 5x 12 + 5x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 5x = -3 + 0 12 + 5x = -3 Add '-12' to each side of the equation. 12 + -12 + 5x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = -3 + -12 5x = -3 + -12 Combine like terms: -3 + -12 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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