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Simplifying 12(x + 1) + -1(-9x + -3) = x + -9 + 3 Reorder the terms: 12(1 + x) + -1(-9x + -3) = x + -9 + 3 (1 * 12 + x * 12) + -1(-9x + -3) = x + -9 + 3 (12 + 12x) + -1(-9x + -3) = x + -9 + 3 Reorder the terms: 12 + 12x + -1(-3 + -9x) = x + -9 + 3 12 + 12x + (-3 * -1 + -9x * -1) = x + -9 + 3 12 + 12x + (3 + 9x) = x + -9 + 3 Reorder the terms: 12 + 3 + 12x + 9x = x + -9 + 3 Combine like terms: 12 + 3 = 15 15 + 12x + 9x = x + -9 + 3 Combine like terms: 12x + 9x = 21x 15 + 21x = x + -9 + 3 Reorder the terms: 15 + 21x = -9 + 3 + x Combine like terms: -9 + 3 = -6 15 + 21x = -6 + x Solving 15 + 21x = -6 + 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. 15 + 21x + -1x = -6 + x + -1x Combine like terms: 21x + -1x = 20x 15 + 20x = -6 + x + -1x Combine like terms: x + -1x = 0 15 + 20x = -6 + 0 15 + 20x = -6 Add '-15' to each side of the equation. 15 + -15 + 20x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 20x = -6 + -15 20x = -6 + -15 Combine like terms: -6 + -15 = -21 20x = -21 Divide each side by '20'. x = -1.05 Simplifying x = -1.05
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