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Simplifying 5(x + -3) + -3(x + 1) = 32 Reorder the terms: 5(-3 + x) + -3(x + 1) = 32 (-3 * 5 + x * 5) + -3(x + 1) = 32 (-15 + 5x) + -3(x + 1) = 32 Reorder the terms: -15 + 5x + -3(1 + x) = 32 -15 + 5x + (1 * -3 + x * -3) = 32 -15 + 5x + (-3 + -3x) = 32 Reorder the terms: -15 + -3 + 5x + -3x = 32 Combine like terms: -15 + -3 = -18 -18 + 5x + -3x = 32 Combine like terms: 5x + -3x = 2x -18 + 2x = 32 Solving -18 + 2x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 2x = 32 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 32 + 18 2x = 32 + 18 Combine like terms: 32 + 18 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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