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Simplifying 12x + -9 + -1(8x + -60) = -9 + -1x Reorder the terms: 12x + -9 + -1(-60 + 8x) = -9 + -1x 12x + -9 + (-60 * -1 + 8x * -1) = -9 + -1x 12x + -9 + (60 + -8x) = -9 + -1x Reorder the terms: -9 + 60 + 12x + -8x = -9 + -1x Combine like terms: -9 + 60 = 51 51 + 12x + -8x = -9 + -1x Combine like terms: 12x + -8x = 4x 51 + 4x = -9 + -1x Solving 51 + 4x = -9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 51 + 4x + x = -9 + -1x + x Combine like terms: 4x + x = 5x 51 + 5x = -9 + -1x + x Combine like terms: -1x + x = 0 51 + 5x = -9 + 0 51 + 5x = -9 Add '-51' to each side of the equation. 51 + -51 + 5x = -9 + -51 Combine like terms: 51 + -51 = 0 0 + 5x = -9 + -51 5x = -9 + -51 Combine like terms: -9 + -51 = -60 5x = -60 Divide each side by '5'. x = -12 Simplifying x = -12
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