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Simplifying x + -18 + 2(x + 2) = 6x + 24 Reorder the terms: x + -18 + 2(2 + x) = 6x + 24 x + -18 + (2 * 2 + x * 2) = 6x + 24 x + -18 + (4 + 2x) = 6x + 24 Reorder the terms: -18 + 4 + x + 2x = 6x + 24 Combine like terms: -18 + 4 = -14 -14 + x + 2x = 6x + 24 Combine like terms: x + 2x = 3x -14 + 3x = 6x + 24 Reorder the terms: -14 + 3x = 24 + 6x Solving -14 + 3x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 3x + -6x = 24 + 6x + -6x Combine like terms: 3x + -6x = -3x -14 + -3x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -3x = 24 + 0 -14 + -3x = 24 Add '14' to each side of the equation. -14 + 14 + -3x = 24 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 24 + 14 -3x = 24 + 14 Combine like terms: 24 + 14 = 38 -3x = 38 Divide each side by '-3'. x = -12.66666667 Simplifying x = -12.66666667
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