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Simplifying (3x + -17) + (x + 40) + (2x + -5) = 0 Reorder the terms: (-17 + 3x) + (x + 40) + (2x + -5) = 0 Remove parenthesis around (-17 + 3x) -17 + 3x + (x + 40) + (2x + -5) = 0 Reorder the terms: -17 + 3x + (40 + x) + (2x + -5) = 0 Remove parenthesis around (40 + x) -17 + 3x + 40 + x + (2x + -5) = 0 Reorder the terms: -17 + 3x + 40 + x + (-5 + 2x) = 0 Remove parenthesis around (-5 + 2x) -17 + 3x + 40 + x + -5 + 2x = 0 Reorder the terms: -17 + 40 + -5 + 3x + x + 2x = 0 Combine like terms: -17 + 40 = 23 23 + -5 + 3x + x + 2x = 0 Combine like terms: 23 + -5 = 18 18 + 3x + x + 2x = 0 Combine like terms: 3x + x = 4x 18 + 4x + 2x = 0 Combine like terms: 4x + 2x = 6x 18 + 6x = 0 Solving 18 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 0 + -18 6x = 0 + -18 Combine like terms: 0 + -18 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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