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Simplifying 125 = (4x + 1) + (2x + -2) Reorder the terms: 125 = (1 + 4x) + (2x + -2) Remove parenthesis around (1 + 4x) 125 = 1 + 4x + (2x + -2) Reorder the terms: 125 = 1 + 4x + (-2 + 2x) Remove parenthesis around (-2 + 2x) 125 = 1 + 4x + -2 + 2x Reorder the terms: 125 = 1 + -2 + 4x + 2x Combine like terms: 1 + -2 = -1 125 = -1 + 4x + 2x Combine like terms: 4x + 2x = 6x 125 = -1 + 6x Solving 125 = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 125 + -6x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 125 + -6x = -1 + 0 125 + -6x = -1 Add '-125' to each side of the equation. 125 + -125 + -6x = -1 + -125 Combine like terms: 125 + -125 = 0 0 + -6x = -1 + -125 -6x = -1 + -125 Combine like terms: -1 + -125 = -126 -6x = -126 Divide each side by '-6'. x = 21 Simplifying x = 21
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