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Simplifying (5x + -7) + -1(35x + -60) + 7 = 0 Reorder the terms: (-7 + 5x) + -1(35x + -60) + 7 = 0 Remove parenthesis around (-7 + 5x) -7 + 5x + -1(35x + -60) + 7 = 0 Reorder the terms: -7 + 5x + -1(-60 + 35x) + 7 = 0 -7 + 5x + (-60 * -1 + 35x * -1) + 7 = 0 -7 + 5x + (60 + -35x) + 7 = 0 Reorder the terms: -7 + 60 + 7 + 5x + -35x = 0 Combine like terms: -7 + 60 = 53 53 + 7 + 5x + -35x = 0 Combine like terms: 53 + 7 = 60 60 + 5x + -35x = 0 Combine like terms: 5x + -35x = -30x 60 + -30x = 0 Solving 60 + -30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -30x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -30x = 0 + -60 -30x = 0 + -60 Combine like terms: 0 + -60 = -60 -30x = -60 Divide each side by '-30'. x = 2 Simplifying x = 2
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