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Simplifying 7(3 + -1x) = 2(5 + 2x) (3 * 7 + -1x * 7) = 2(5 + 2x) (21 + -7x) = 2(5 + 2x) 21 + -7x = (5 * 2 + 2x * 2) 21 + -7x = (10 + 4x) Solving 21 + -7x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + -7x + -4x = 10 + 4x + -4x Combine like terms: -7x + -4x = -11x 21 + -11x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -11x = 10 + 0 21 + -11x = 10 Add '-21' to each side of the equation. 21 + -21 + -11x = 10 + -21 Combine like terms: 21 + -21 = 0 0 + -11x = 10 + -21 -11x = 10 + -21 Combine like terms: 10 + -21 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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