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Simplifying -32 = 7x + -2(x + -9) Reorder the terms: -32 = 7x + -2(-9 + x) -32 = 7x + (-9 * -2 + x * -2) -32 = 7x + (18 + -2x) Reorder the terms: -32 = 18 + 7x + -2x Combine like terms: 7x + -2x = 5x -32 = 18 + 5x Solving -32 = 18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -32 + -5x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + -5x = 18 + 0 -32 + -5x = 18 Add '32' to each side of the equation. -32 + 32 + -5x = 18 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = 18 + 32 -5x = 18 + 32 Combine like terms: 18 + 32 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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