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Simplifying 3(x + -6) + -1(3x + 2) = 2(6x + 3) Reorder the terms: 3(-6 + x) + -1(3x + 2) = 2(6x + 3) (-6 * 3 + x * 3) + -1(3x + 2) = 2(6x + 3) (-18 + 3x) + -1(3x + 2) = 2(6x + 3) Reorder the terms: -18 + 3x + -1(2 + 3x) = 2(6x + 3) -18 + 3x + (2 * -1 + 3x * -1) = 2(6x + 3) -18 + 3x + (-2 + -3x) = 2(6x + 3) Reorder the terms: -18 + -2 + 3x + -3x = 2(6x + 3) Combine like terms: -18 + -2 = -20 -20 + 3x + -3x = 2(6x + 3) Combine like terms: 3x + -3x = 0 -20 + 0 = 2(6x + 3) -20 = 2(6x + 3) Reorder the terms: -20 = 2(3 + 6x) -20 = (3 * 2 + 6x * 2) -20 = (6 + 12x) Solving -20 = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -20 + -12x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -12x = 6 + 0 -20 + -12x = 6 Add '20' to each side of the equation. -20 + 20 + -12x = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -12x = 6 + 20 -12x = 6 + 20 Combine like terms: 6 + 20 = 26 -12x = 26 Divide each side by '-12'. x = -2.166666667 Simplifying x = -2.166666667
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