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Simplifying (5x + 1) = (12x + -34) Reorder the terms: (1 + 5x) = (12x + -34) Remove parenthesis around (1 + 5x) 1 + 5x = (12x + -34) Reorder the terms: 1 + 5x = (-34 + 12x) Remove parenthesis around (-34 + 12x) 1 + 5x = -34 + 12x Solving 1 + 5x = -34 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + 5x + -12x = -34 + 12x + -12x Combine like terms: 5x + -12x = -7x 1 + -7x = -34 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -7x = -34 + 0 1 + -7x = -34 Add '-1' to each side of the equation. 1 + -1 + -7x = -34 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = -34 + -1 -7x = -34 + -1 Combine like terms: -34 + -1 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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