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Simplifying (7x + 1) = (10x + -50) Reorder the terms: (1 + 7x) = (10x + -50) Remove parenthesis around (1 + 7x) 1 + 7x = (10x + -50) Reorder the terms: 1 + 7x = (-50 + 10x) Remove parenthesis around (-50 + 10x) 1 + 7x = -50 + 10x Solving 1 + 7x = -50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + 7x + -10x = -50 + 10x + -10x Combine like terms: 7x + -10x = -3x 1 + -3x = -50 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -3x = -50 + 0 1 + -3x = -50 Add '-1' to each side of the equation. 1 + -1 + -3x = -50 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -50 + -1 -3x = -50 + -1 Combine like terms: -50 + -1 = -51 -3x = -51 Divide each side by '-3'. x = 17 Simplifying x = 17
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