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Simplifying (x + 31) + 34 = 45x + 21 Reorder the terms: (31 + x) + 34 = 45x + 21 Remove parenthesis around (31 + x) 31 + x + 34 = 45x + 21 Reorder the terms: 31 + 34 + x = 45x + 21 Combine like terms: 31 + 34 = 65 65 + x = 45x + 21 Reorder the terms: 65 + x = 21 + 45x Solving 65 + x = 21 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 65 + x + -45x = 21 + 45x + -45x Combine like terms: x + -45x = -44x 65 + -44x = 21 + 45x + -45x Combine like terms: 45x + -45x = 0 65 + -44x = 21 + 0 65 + -44x = 21 Add '-65' to each side of the equation. 65 + -65 + -44x = 21 + -65 Combine like terms: 65 + -65 = 0 0 + -44x = 21 + -65 -44x = 21 + -65 Combine like terms: 21 + -65 = -44 -44x = -44 Divide each side by '-44'. x = 1 Simplifying x = 1
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