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Simplifying 7(-1x + -2) + -1(x + -5) = 32 Reorder the terms: 7(-2 + -1x) + -1(x + -5) = 32 (-2 * 7 + -1x * 7) + -1(x + -5) = 32 (-14 + -7x) + -1(x + -5) = 32 Reorder the terms: -14 + -7x + -1(-5 + x) = 32 -14 + -7x + (-5 * -1 + x * -1) = 32 -14 + -7x + (5 + -1x) = 32 Reorder the terms: -14 + 5 + -7x + -1x = 32 Combine like terms: -14 + 5 = -9 -9 + -7x + -1x = 32 Combine like terms: -7x + -1x = -8x -9 + -8x = 32 Solving -9 + -8x = 32 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 + -8x = 32 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 32 + 9 -8x = 32 + 9 Combine like terms: 32 + 9 = 41 -8x = 41 Divide each side by '-8'. x = -5.125 Simplifying x = -5.125
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