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Simplifying 3(4x + -6) + -1(3x + 2) = 18 Reorder the terms: 3(-6 + 4x) + -1(3x + 2) = 18 (-6 * 3 + 4x * 3) + -1(3x + 2) = 18 (-18 + 12x) + -1(3x + 2) = 18 Reorder the terms: -18 + 12x + -1(2 + 3x) = 18 -18 + 12x + (2 * -1 + 3x * -1) = 18 -18 + 12x + (-2 + -3x) = 18 Reorder the terms: -18 + -2 + 12x + -3x = 18 Combine like terms: -18 + -2 = -20 -20 + 12x + -3x = 18 Combine like terms: 12x + -3x = 9x -20 + 9x = 18 Solving -20 + 9x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 9x = 18 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = 18 + 20 9x = 18 + 20 Combine like terms: 18 + 20 = 38 9x = 38 Divide each side by '9'. x = 4.222222222 Simplifying x = 4.222222222
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