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Simplifying 2(5 + -2x) = 1(7x + 5) (5 * 2 + -2x * 2) = 1(7x + 5) (10 + -4x) = 1(7x + 5) Reorder the terms: 10 + -4x = 1(5 + 7x) 10 + -4x = (5 * 1 + 7x * 1) 10 + -4x = (5 + 7x) Solving 10 + -4x = 5 + 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. 10 + -4x + -7x = 5 + 7x + -7x Combine like terms: -4x + -7x = -11x 10 + -11x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -11x = 5 + 0 10 + -11x = 5 Add '-10' to each side of the equation. 10 + -10 + -11x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 5 + -10 -11x = 5 + -10 Combine like terms: 5 + -10 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545
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