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Simplifying 3(x + 4) + 6(11 + -1x) = 18 Reorder the terms: 3(4 + x) + 6(11 + -1x) = 18 (4 * 3 + x * 3) + 6(11 + -1x) = 18 (12 + 3x) + 6(11 + -1x) = 18 12 + 3x + (11 * 6 + -1x * 6) = 18 12 + 3x + (66 + -6x) = 18 Reorder the terms: 12 + 66 + 3x + -6x = 18 Combine like terms: 12 + 66 = 78 78 + 3x + -6x = 18 Combine like terms: 3x + -6x = -3x 78 + -3x = 18 Solving 78 + -3x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + -3x = 18 + -78 Combine like terms: 78 + -78 = 0 0 + -3x = 18 + -78 -3x = 18 + -78 Combine like terms: 18 + -78 = -60 -3x = -60 Divide each side by '-3'. x = 20 Simplifying x = 20
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