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Simplifying (3x + -17) + (x + 40) = (2x + -5) Reorder the terms: (-17 + 3x) + (x + 40) = (2x + -5) Remove parenthesis around (-17 + 3x) -17 + 3x + (x + 40) = (2x + -5) Reorder the terms: -17 + 3x + (40 + x) = (2x + -5) Remove parenthesis around (40 + x) -17 + 3x + 40 + x = (2x + -5) Reorder the terms: -17 + 40 + 3x + x = (2x + -5) Combine like terms: -17 + 40 = 23 23 + 3x + x = (2x + -5) Combine like terms: 3x + x = 4x 23 + 4x = (2x + -5) Reorder the terms: 23 + 4x = (-5 + 2x) Remove parenthesis around (-5 + 2x) 23 + 4x = -5 + 2x Solving 23 + 4x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 23 + 4x + -2x = -5 + 2x + -2x Combine like terms: 4x + -2x = 2x 23 + 2x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + 2x = -5 + 0 23 + 2x = -5 Add '-23' to each side of the equation. 23 + -23 + 2x = -5 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = -5 + -23 2x = -5 + -23 Combine like terms: -5 + -23 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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