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Simplifying 3(3x + 2) = 6(6x + -2) Reorder the terms: 3(2 + 3x) = 6(6x + -2) (2 * 3 + 3x * 3) = 6(6x + -2) (6 + 9x) = 6(6x + -2) Reorder the terms: 6 + 9x = 6(-2 + 6x) 6 + 9x = (-2 * 6 + 6x * 6) 6 + 9x = (-12 + 36x) Solving 6 + 9x = -12 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 6 + 9x + -36x = -12 + 36x + -36x Combine like terms: 9x + -36x = -27x 6 + -27x = -12 + 36x + -36x Combine like terms: 36x + -36x = 0 6 + -27x = -12 + 0 6 + -27x = -12 Add '-6' to each side of the equation. 6 + -6 + -27x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -27x = -12 + -6 -27x = -12 + -6 Combine like terms: -12 + -6 = -18 -27x = -18 Divide each side by '-27'. x = 0.6666666667 Simplifying x = 0.6666666667
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