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Simplifying 3(6x + 2) = 3(9x + -3) Reorder the terms: 3(2 + 6x) = 3(9x + -3) (2 * 3 + 6x * 3) = 3(9x + -3) (6 + 18x) = 3(9x + -3) Reorder the terms: 6 + 18x = 3(-3 + 9x) 6 + 18x = (-3 * 3 + 9x * 3) 6 + 18x = (-9 + 27x) Solving 6 + 18x = -9 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 6 + 18x + -27x = -9 + 27x + -27x Combine like terms: 18x + -27x = -9x 6 + -9x = -9 + 27x + -27x Combine like terms: 27x + -27x = 0 6 + -9x = -9 + 0 6 + -9x = -9 Add '-6' to each side of the equation. 6 + -6 + -9x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -9 + -6 -9x = -9 + -6 Combine like terms: -9 + -6 = -15 -9x = -15 Divide each side by '-9'. x = 1.666666667 Simplifying x = 1.666666667
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