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Simplifying -6(2x + -1) + -1(3x + 5) = 32 Reorder the terms: -6(-1 + 2x) + -1(3x + 5) = 32 (-1 * -6 + 2x * -6) + -1(3x + 5) = 32 (6 + -12x) + -1(3x + 5) = 32 Reorder the terms: 6 + -12x + -1(5 + 3x) = 32 6 + -12x + (5 * -1 + 3x * -1) = 32 6 + -12x + (-5 + -3x) = 32 Reorder the terms: 6 + -5 + -12x + -3x = 32 Combine like terms: 6 + -5 = 1 1 + -12x + -3x = 32 Combine like terms: -12x + -3x = -15x 1 + -15x = 32 Solving 1 + -15x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -15x = 32 + -1 Combine like terms: 1 + -1 = 0 0 + -15x = 32 + -1 -15x = 32 + -1 Combine like terms: 32 + -1 = 31 -15x = 31 Divide each side by '-15'. x = -2.066666667 Simplifying x = -2.066666667
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