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Simplifying 2(3x + -6) = -18 + -3(x + 2) Reorder the terms: 2(-6 + 3x) = -18 + -3(x + 2) (-6 * 2 + 3x * 2) = -18 + -3(x + 2) (-12 + 6x) = -18 + -3(x + 2) Reorder the terms: -12 + 6x = -18 + -3(2 + x) -12 + 6x = -18 + (2 * -3 + x * -3) -12 + 6x = -18 + (-6 + -3x) Combine like terms: -18 + -6 = -24 -12 + 6x = -24 + -3x Solving -12 + 6x = -24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 6x + 3x = -24 + -3x + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 9x = -24 + 0 -12 + 9x = -24 Add '12' to each side of the equation. -12 + 12 + 9x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -24 + 12 9x = -24 + 12 Combine like terms: -24 + 12 = -12 9x = -12 Divide each side by '9'. x = -1.333333333 Simplifying x = -1.333333333
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