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Simplifying x + -1(3 + -6x) + -1(12x + -9) = x + 15 x + (3 * -1 + -6x * -1) + -1(12x + -9) = x + 15 x + (-3 + 6x) + -1(12x + -9) = x + 15 Reorder the terms: x + -3 + 6x + -1(-9 + 12x) = x + 15 x + -3 + 6x + (-9 * -1 + 12x * -1) = x + 15 x + -3 + 6x + (9 + -12x) = x + 15 Reorder the terms: -3 + 9 + x + 6x + -12x = x + 15 Combine like terms: -3 + 9 = 6 6 + x + 6x + -12x = x + 15 Combine like terms: x + 6x = 7x 6 + 7x + -12x = x + 15 Combine like terms: 7x + -12x = -5x 6 + -5x = x + 15 Reorder the terms: 6 + -5x = 15 + x Solving 6 + -5x = 15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + -5x + -1x = 15 + x + -1x Combine like terms: -5x + -1x = -6x 6 + -6x = 15 + x + -1x Combine like terms: x + -1x = 0 6 + -6x = 15 + 0 6 + -6x = 15 Add '-6' to each side of the equation. 6 + -6 + -6x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 15 + -6 -6x = 15 + -6 Combine like terms: 15 + -6 = 9 -6x = 9 Divide each side by '-6'. x = -1.5 Simplifying x = -1.5
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