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Simplifying 2(x + -5) + 3(x + -1) = 32 Reorder the terms: 2(-5 + x) + 3(x + -1) = 32 (-5 * 2 + x * 2) + 3(x + -1) = 32 (-10 + 2x) + 3(x + -1) = 32 Reorder the terms: -10 + 2x + 3(-1 + x) = 32 -10 + 2x + (-1 * 3 + x * 3) = 32 -10 + 2x + (-3 + 3x) = 32 Reorder the terms: -10 + -3 + 2x + 3x = 32 Combine like terms: -10 + -3 = -13 -13 + 2x + 3x = 32 Combine like terms: 2x + 3x = 5x -13 + 5x = 32 Solving -13 + 5x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 5x = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 32 + 13 5x = 32 + 13 Combine like terms: 32 + 13 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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