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Simplifying 2(x + 10) + -2 = 74 + -5x Reorder the terms: 2(10 + x) + -2 = 74 + -5x (10 * 2 + x * 2) + -2 = 74 + -5x (20 + 2x) + -2 = 74 + -5x Reorder the terms: 20 + -2 + 2x = 74 + -5x Combine like terms: 20 + -2 = 18 18 + 2x = 74 + -5x Solving 18 + 2x = 74 + -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. 18 + 2x + 5x = 74 + -5x + 5x Combine like terms: 2x + 5x = 7x 18 + 7x = 74 + -5x + 5x Combine like terms: -5x + 5x = 0 18 + 7x = 74 + 0 18 + 7x = 74 Add '-18' to each side of the equation. 18 + -18 + 7x = 74 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 74 + -18 7x = 74 + -18 Combine like terms: 74 + -18 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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