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Simplifying 5(x + -2) + -3(x + 1) = 32 Reorder the terms: 5(-2 + x) + -3(x + 1) = 32 (-2 * 5 + x * 5) + -3(x + 1) = 32 (-10 + 5x) + -3(x + 1) = 32 Reorder the terms: -10 + 5x + -3(1 + x) = 32 -10 + 5x + (1 * -3 + x * -3) = 32 -10 + 5x + (-3 + -3x) = 32 Reorder the terms: -10 + -3 + 5x + -3x = 32 Combine like terms: -10 + -3 = -13 -13 + 5x + -3x = 32 Combine like terms: 5x + -3x = 2x -13 + 2x = 32 Solving -13 + 2x = 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 + 2x = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 32 + 13 2x = 32 + 13 Combine like terms: 32 + 13 = 45 2x = 45 Divide each side by '2'. x = 22.5 Simplifying x = 22.5
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