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Simplifying -3(2x + -1) + -1(8x + -5) = 12 + -1(5x + -3) Reorder the terms: -3(-1 + 2x) + -1(8x + -5) = 12 + -1(5x + -3) (-1 * -3 + 2x * -3) + -1(8x + -5) = 12 + -1(5x + -3) (3 + -6x) + -1(8x + -5) = 12 + -1(5x + -3) Reorder the terms: 3 + -6x + -1(-5 + 8x) = 12 + -1(5x + -3) 3 + -6x + (-5 * -1 + 8x * -1) = 12 + -1(5x + -3) 3 + -6x + (5 + -8x) = 12 + -1(5x + -3) Reorder the terms: 3 + 5 + -6x + -8x = 12 + -1(5x + -3) Combine like terms: 3 + 5 = 8 8 + -6x + -8x = 12 + -1(5x + -3) Combine like terms: -6x + -8x = -14x 8 + -14x = 12 + -1(5x + -3) Reorder the terms: 8 + -14x = 12 + -1(-3 + 5x) 8 + -14x = 12 + (-3 * -1 + 5x * -1) 8 + -14x = 12 + (3 + -5x) Combine like terms: 12 + 3 = 15 8 + -14x = 15 + -5x Solving 8 + -14x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + -14x + 5x = 15 + -5x + 5x Combine like terms: -14x + 5x = -9x 8 + -9x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + -9x = 15 + 0 8 + -9x = 15 Add '-8' to each side of the equation. 8 + -8 + -9x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 15 + -8 -9x = 15 + -8 Combine like terms: 15 + -8 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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