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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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