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Simplifying 3(x + -8) + -1(2x + -5) = 32 Reorder the terms: 3(-8 + x) + -1(2x + -5) = 32 (-8 * 3 + x * 3) + -1(2x + -5) = 32 (-24 + 3x) + -1(2x + -5) = 32 Reorder the terms: -24 + 3x + -1(-5 + 2x) = 32 -24 + 3x + (-5 * -1 + 2x * -1) = 32 -24 + 3x + (5 + -2x) = 32 Reorder the terms: -24 + 5 + 3x + -2x = 32 Combine like terms: -24 + 5 = -19 -19 + 3x + -2x = 32 Combine like terms: 3x + -2x = 1x -19 + 1x = 32 Solving -19 + 1x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1x = 32 + 19 Combine like terms: -19 + 19 = 0 0 + 1x = 32 + 19 1x = 32 + 19 Combine like terms: 32 + 19 = 51 1x = 51 Divide each side by '1'. x = 51 Simplifying x = 51
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