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Simplifying 2(7 + -1x) = 3(3x + 1) (7 * 2 + -1x * 2) = 3(3x + 1) (14 + -2x) = 3(3x + 1) Reorder the terms: 14 + -2x = 3(1 + 3x) 14 + -2x = (1 * 3 + 3x * 3) 14 + -2x = (3 + 9x) Solving 14 + -2x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + -2x + -9x = 3 + 9x + -9x Combine like terms: -2x + -9x = -11x 14 + -11x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -11x = 3 + 0 14 + -11x = 3 Add '-14' to each side of the equation. 14 + -14 + -11x = 3 + -14 Combine like terms: 14 + -14 = 0 0 + -11x = 3 + -14 -11x = 3 + -14 Combine like terms: 3 + -14 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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