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Simplifying 3(x + 14) + 4(10 + -1x) = 0 Reorder the terms: 3(14 + x) + 4(10 + -1x) = 0 (14 * 3 + x * 3) + 4(10 + -1x) = 0 (42 + 3x) + 4(10 + -1x) = 0 42 + 3x + (10 * 4 + -1x * 4) = 0 42 + 3x + (40 + -4x) = 0 Reorder the terms: 42 + 40 + 3x + -4x = 0 Combine like terms: 42 + 40 = 82 82 + 3x + -4x = 0 Combine like terms: 3x + -4x = -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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