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Simplifying 177 = (2x + -25) + 2(x) + (2x + -26) Reorder the terms: 177 = (-25 + 2x) + 2(x) + (2x + -26) Remove parenthesis around (-25 + 2x) 177 = -25 + 2x + 2(x) + (2x + -26) Reorder the terms: 177 = -25 + 2x + 2x + (-26 + 2x) Remove parenthesis around (-26 + 2x) 177 = -25 + 2x + 2x + -26 + 2x Reorder the terms: 177 = -25 + -26 + 2x + 2x + 2x Combine like terms: -25 + -26 = -51 177 = -51 + 2x + 2x + 2x Combine like terms: 2x + 2x = 4x 177 = -51 + 4x + 2x Combine like terms: 4x + 2x = 6x 177 = -51 + 6x Solving 177 = -51 + 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. 177 + -6x = -51 + 6x + -6x Combine like terms: 6x + -6x = 0 177 + -6x = -51 + 0 177 + -6x = -51 Add '-177' to each side of the equation. 177 + -177 + -6x = -51 + -177 Combine like terms: 177 + -177 = 0 0 + -6x = -51 + -177 -6x = -51 + -177 Combine like terms: -51 + -177 = -228 -6x = -228 Divide each side by '-6'. x = 38 Simplifying x = 38
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