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Simplifying 3(x + 2) = 7(2x + -1) Reorder the terms: 3(2 + x) = 7(2x + -1) (2 * 3 + x * 3) = 7(2x + -1) (6 + 3x) = 7(2x + -1) Reorder the terms: 6 + 3x = 7(-1 + 2x) 6 + 3x = (-1 * 7 + 2x * 7) 6 + 3x = (-7 + 14x) Solving 6 + 3x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 6 + 3x + -14x = -7 + 14x + -14x Combine like terms: 3x + -14x = -11x 6 + -11x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -11x = -7 + 0 6 + -11x = -7 Add '-6' to each side of the equation. 6 + -6 + -11x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = -7 + -6 -11x = -7 + -6 Combine like terms: -7 + -6 = -13 -11x = -13 Divide each side by '-11'. x = 1.181818182 Simplifying x = 1.181818182
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