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Simplifying -6(2x + -1) + -1(3x + 15) = 31 Reorder the terms: -6(-1 + 2x) + -1(3x + 15) = 31 (-1 * -6 + 2x * -6) + -1(3x + 15) = 31 (6 + -12x) + -1(3x + 15) = 31 Reorder the terms: 6 + -12x + -1(15 + 3x) = 31 6 + -12x + (15 * -1 + 3x * -1) = 31 6 + -12x + (-15 + -3x) = 31 Reorder the terms: 6 + -15 + -12x + -3x = 31 Combine like terms: 6 + -15 = -9 -9 + -12x + -3x = 31 Combine like terms: -12x + -3x = -15x -9 + -15x = 31 Solving -9 + -15x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -15x = 31 + 9 Combine like terms: -9 + 9 = 0 0 + -15x = 31 + 9 -15x = 31 + 9 Combine like terms: 31 + 9 = 40 -15x = 40 Divide each side by '-15'. x = -2.666666667 Simplifying x = -2.666666667
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