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Simplifying 2(1 + -2x) = 7(x + 5) (1 * 2 + -2x * 2) = 7(x + 5) (2 + -4x) = 7(x + 5) Reorder the terms: 2 + -4x = 7(5 + x) 2 + -4x = (5 * 7 + x * 7) 2 + -4x = (35 + 7x) Solving 2 + -4x = 35 + 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. 2 + -4x + -7x = 35 + 7x + -7x Combine like terms: -4x + -7x = -11x 2 + -11x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -11x = 35 + 0 2 + -11x = 35 Add '-2' to each side of the equation. 2 + -2 + -11x = 35 + -2 Combine like terms: 2 + -2 = 0 0 + -11x = 35 + -2 -11x = 35 + -2 Combine like terms: 35 + -2 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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