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Simplifying 5(x + 10) = 120 + -2x Reorder the terms: 5(10 + x) = 120 + -2x (10 * 5 + x * 5) = 120 + -2x (50 + 5x) = 120 + -2x Solving 50 + 5x = 120 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 50 + 5x + 2x = 120 + -2x + 2x Combine like terms: 5x + 2x = 7x 50 + 7x = 120 + -2x + 2x Combine like terms: -2x + 2x = 0 50 + 7x = 120 + 0 50 + 7x = 120 Add '-50' to each side of the equation. 50 + -50 + 7x = 120 + -50 Combine like terms: 50 + -50 = 0 0 + 7x = 120 + -50 7x = 120 + -50 Combine like terms: 120 + -50 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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