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Simplifying 7x + -1(5x + 7) = 7x + -32 Reorder the terms: 7x + -1(7 + 5x) = 7x + -32 7x + (7 * -1 + 5x * -1) = 7x + -32 7x + (-7 + -5x) = 7x + -32 Reorder the terms: -7 + 7x + -5x = 7x + -32 Combine like terms: 7x + -5x = 2x -7 + 2x = 7x + -32 Reorder the terms: -7 + 2x = -32 + 7x Solving -7 + 2x = -32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + 2x + -7x = -32 + 7x + -7x Combine like terms: 2x + -7x = -5x -7 + -5x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -5x = -32 + 0 -7 + -5x = -32 Add '7' to each side of the equation. -7 + 7 + -5x = -32 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -32 + 7 -5x = -32 + 7 Combine like terms: -32 + 7 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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