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Simplifying 5(x + -2) = 32 + -1x Reorder the terms: 5(-2 + x) = 32 + -1x (-2 * 5 + x * 5) = 32 + -1x (-10 + 5x) = 32 + -1x Solving -10 + 5x = 32 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 5x + x = 32 + -1x + x Combine like terms: 5x + x = 6x -10 + 6x = 32 + -1x + x Combine like terms: -1x + x = 0 -10 + 6x = 32 + 0 -10 + 6x = 32 Add '10' to each side of the equation. -10 + 10 + 6x = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 32 + 10 6x = 32 + 10 Combine like terms: 32 + 10 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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