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Simplifying 3(x + 6) = 7(2x + -1) Reorder the terms: 3(6 + x) = 7(2x + -1) (6 * 3 + x * 3) = 7(2x + -1) (18 + 3x) = 7(2x + -1) Reorder the terms: 18 + 3x = 7(-1 + 2x) 18 + 3x = (-1 * 7 + 2x * 7) 18 + 3x = (-7 + 14x) Solving 18 + 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. 18 + 3x + -14x = -7 + 14x + -14x Combine like terms: 3x + -14x = -11x 18 + -11x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 18 + -11x = -7 + 0 18 + -11x = -7 Add '-18' to each side of the equation. 18 + -18 + -11x = -7 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = -7 + -18 -11x = -7 + -18 Combine like terms: -7 + -18 = -25 -11x = -25 Divide each side by '-11'. x = 2.272727273 Simplifying x = 2.272727273
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