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Simplifying 5(x + 10) = 7x + -32 Reorder the terms: 5(10 + x) = 7x + -32 (10 * 5 + x * 5) = 7x + -32 (50 + 5x) = 7x + -32 Reorder the terms: 50 + 5x = -32 + 7x Solving 50 + 5x = -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. 50 + 5x + -7x = -32 + 7x + -7x Combine like terms: 5x + -7x = -2x 50 + -2x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 50 + -2x = -32 + 0 50 + -2x = -32 Add '-50' to each side of the equation. 50 + -50 + -2x = -32 + -50 Combine like terms: 50 + -50 = 0 0 + -2x = -32 + -50 -2x = -32 + -50 Combine like terms: -32 + -50 = -82 -2x = -82 Divide each side by '-2'. x = 41 Simplifying x = 41
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