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Simplifying (14x + -34) + (9x + 1) = 152 Reorder the terms: (-34 + 14x) + (9x + 1) = 152 Remove parenthesis around (-34 + 14x) -34 + 14x + (9x + 1) = 152 Reorder the terms: -34 + 14x + (1 + 9x) = 152 Remove parenthesis around (1 + 9x) -34 + 14x + 1 + 9x = 152 Reorder the terms: -34 + 1 + 14x + 9x = 152 Combine like terms: -34 + 1 = -33 -33 + 14x + 9x = 152 Combine like terms: 14x + 9x = 23x -33 + 23x = 152 Solving -33 + 23x = 152 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 23x = 152 + 33 Combine like terms: -33 + 33 = 0 0 + 23x = 152 + 33 23x = 152 + 33 Combine like terms: 152 + 33 = 185 23x = 185 Divide each side by '23'. x = 8.043478261 Simplifying x = 8.043478261
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