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Simplifying 9 + 40x + -5x = 40 + 38(2 + x) Combine like terms: 40x + -5x = 35x 9 + 35x = 40 + 38(2 + x) 9 + 35x = 40 + (2 * 38 + x * 38) 9 + 35x = 40 + (76 + 38x) Combine like terms: 40 + 76 = 116 9 + 35x = 116 + 38x Solving 9 + 35x = 116 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 9 + 35x + -38x = 116 + 38x + -38x Combine like terms: 35x + -38x = -3x 9 + -3x = 116 + 38x + -38x Combine like terms: 38x + -38x = 0 9 + -3x = 116 + 0 9 + -3x = 116 Add '-9' to each side of the equation. 9 + -9 + -3x = 116 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 116 + -9 -3x = 116 + -9 Combine like terms: 116 + -9 = 107 -3x = 107 Divide each side by '-3'. x = -35.66666667 Simplifying x = -35.66666667
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