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Simplifying 3(6x + -12) = 2(18x + -9) Reorder the terms: 3(-12 + 6x) = 2(18x + -9) (-12 * 3 + 6x * 3) = 2(18x + -9) (-36 + 18x) = 2(18x + -9) Reorder the terms: -36 + 18x = 2(-9 + 18x) -36 + 18x = (-9 * 2 + 18x * 2) -36 + 18x = (-18 + 36x) Solving -36 + 18x = -18 + 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. -36 + 18x + -36x = -18 + 36x + -36x Combine like terms: 18x + -36x = -18x -36 + -18x = -18 + 36x + -36x Combine like terms: 36x + -36x = 0 -36 + -18x = -18 + 0 -36 + -18x = -18 Add '36' to each side of the equation. -36 + 36 + -18x = -18 + 36 Combine like terms: -36 + 36 = 0 0 + -18x = -18 + 36 -18x = -18 + 36 Combine like terms: -18 + 36 = 18 -18x = 18 Divide each side by '-18'. x = -1 Simplifying x = -1
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