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Simplifying 12 = 5(-3x + 2) + -1(x + -1) Reorder the terms: 12 = 5(2 + -3x) + -1(x + -1) 12 = (2 * 5 + -3x * 5) + -1(x + -1) 12 = (10 + -15x) + -1(x + -1) Reorder the terms: 12 = 10 + -15x + -1(-1 + x) 12 = 10 + -15x + (-1 * -1 + x * -1) 12 = 10 + -15x + (1 + -1x) Reorder the terms: 12 = 10 + 1 + -15x + -1x Combine like terms: 10 + 1 = 11 12 = 11 + -15x + -1x Combine like terms: -15x + -1x = -16x 12 = 11 + -16x Solving 12 = 11 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 12 + 16x = 11 + -16x + 16x Combine like terms: -16x + 16x = 0 12 + 16x = 11 + 0 12 + 16x = 11 Add '-12' to each side of the equation. 12 + -12 + 16x = 11 + -12 Combine like terms: 12 + -12 = 0 0 + 16x = 11 + -12 16x = 11 + -12 Combine like terms: 11 + -12 = -1 16x = -1 Divide each side by '16'. x = -0.0625 Simplifying x = -0.0625
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