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Simplifying 2(9x + -3) = 6(6x + -2) Reorder the terms: 2(-3 + 9x) = 6(6x + -2) (-3 * 2 + 9x * 2) = 6(6x + -2) (-6 + 18x) = 6(6x + -2) Reorder the terms: -6 + 18x = 6(-2 + 6x) -6 + 18x = (-2 * 6 + 6x * 6) -6 + 18x = (-12 + 36x) Solving -6 + 18x = -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 + 18x + -36x = -12 + 36x + -36x Combine like terms: 18x + -36x = -18x -6 + -18x = -12 + 36x + -36x Combine like terms: 36x + -36x = 0 -6 + -18x = -12 + 0 -6 + -18x = -12 Add '6' to each side of the equation. -6 + 6 + -18x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -18x = -12 + 6 -18x = -12 + 6 Combine like terms: -12 + 6 = -6 -18x = -6 Divide each side by '-18'. x = 0.3333333333 Simplifying x = 0.3333333333
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