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Simplifying 3(x + -1) = -2x + 32 Reorder the terms: 3(-1 + x) = -2x + 32 (-1 * 3 + x * 3) = -2x + 32 (-3 + 3x) = -2x + 32 Reorder the terms: -3 + 3x = 32 + -2x Solving -3 + 3x = 32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 3x + 2x = 32 + -2x + 2x Combine like terms: 3x + 2x = 5x -3 + 5x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 5x = 32 + 0 -3 + 5x = 32 Add '3' to each side of the equation. -3 + 3 + 5x = 32 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 32 + 3 5x = 32 + 3 Combine like terms: 32 + 3 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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