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Simplifying 45 + 32x + 160 = 74x + 34 Reorder the terms: 45 + 160 + 32x = 74x + 34 Combine like terms: 45 + 160 = 205 205 + 32x = 74x + 34 Reorder the terms: 205 + 32x = 34 + 74x Solving 205 + 32x = 34 + 74x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74x' to each side of the equation. 205 + 32x + -74x = 34 + 74x + -74x Combine like terms: 32x + -74x = -42x 205 + -42x = 34 + 74x + -74x Combine like terms: 74x + -74x = 0 205 + -42x = 34 + 0 205 + -42x = 34 Add '-205' to each side of the equation. 205 + -205 + -42x = 34 + -205 Combine like terms: 205 + -205 = 0 0 + -42x = 34 + -205 -42x = 34 + -205 Combine like terms: 34 + -205 = -171 -42x = -171 Divide each side by '-42'. x = 4.071428571 Simplifying x = 4.071428571
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