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Simplifying 7 + 5(2 + -1x) = 3(2x + 2) 7 + (2 * 5 + -1x * 5) = 3(2x + 2) 7 + (10 + -5x) = 3(2x + 2) Combine like terms: 7 + 10 = 17 17 + -5x = 3(2x + 2) Reorder the terms: 17 + -5x = 3(2 + 2x) 17 + -5x = (2 * 3 + 2x * 3) 17 + -5x = (6 + 6x) Solving 17 + -5x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + -5x + -6x = 6 + 6x + -6x Combine like terms: -5x + -6x = -11x 17 + -11x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -11x = 6 + 0 17 + -11x = 6 Add '-17' to each side of the equation. 17 + -17 + -11x = 6 + -17 Combine like terms: 17 + -17 = 0 0 + -11x = 6 + -17 -11x = 6 + -17 Combine like terms: 6 + -17 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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