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Simplifying 2(x + 4) + -5(x + 6) = 18 Reorder the terms: 2(4 + x) + -5(x + 6) = 18 (4 * 2 + x * 2) + -5(x + 6) = 18 (8 + 2x) + -5(x + 6) = 18 Reorder the terms: 8 + 2x + -5(6 + x) = 18 8 + 2x + (6 * -5 + x * -5) = 18 8 + 2x + (-30 + -5x) = 18 Reorder the terms: 8 + -30 + 2x + -5x = 18 Combine like terms: 8 + -30 = -22 -22 + 2x + -5x = 18 Combine like terms: 2x + -5x = -3x -22 + -3x = 18 Solving -22 + -3x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -3x = 18 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = 18 + 22 -3x = 18 + 22 Combine like terms: 18 + 22 = 40 -3x = 40 Divide each side by '-3'. x = -13.33333333 Simplifying x = -13.33333333
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