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Simplifying 2(x + 14) + 3(18 + -1x) = 0 Reorder the terms: 2(14 + x) + 3(18 + -1x) = 0 (14 * 2 + x * 2) + 3(18 + -1x) = 0 (28 + 2x) + 3(18 + -1x) = 0 28 + 2x + (18 * 3 + -1x * 3) = 0 28 + 2x + (54 + -3x) = 0 Reorder the terms: 28 + 54 + 2x + -3x = 0 Combine like terms: 28 + 54 = 82 82 + 2x + -3x = 0 Combine like terms: 2x + -3x = -1x 82 + -1x = 0 Solving 82 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + -1x = 0 + -82 Combine like terms: 82 + -82 = 0 0 + -1x = 0 + -82 -1x = 0 + -82 Combine like terms: 0 + -82 = -82 -1x = -82 Divide each side by '-1'. x = 82 Simplifying x = 82
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