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Simplifying 2x + 32 = -5(x + -5) Reorder the terms: 32 + 2x = -5(x + -5) Reorder the terms: 32 + 2x = -5(-5 + x) 32 + 2x = (-5 * -5 + x * -5) 32 + 2x = (25 + -5x) Solving 32 + 2x = 25 + -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 + 2x + 5x = 25 + -5x + 5x Combine like terms: 2x + 5x = 7x 32 + 7x = 25 + -5x + 5x Combine like terms: -5x + 5x = 0 32 + 7x = 25 + 0 32 + 7x = 25 Add '-32' to each side of the equation. 32 + -32 + 7x = 25 + -32 Combine like terms: 32 + -32 = 0 0 + 7x = 25 + -32 7x = 25 + -32 Combine like terms: 25 + -32 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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