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Simplifying (2x + 61) = (6x + -51) Reorder the terms: (61 + 2x) = (6x + -51) Remove parenthesis around (61 + 2x) 61 + 2x = (6x + -51) Reorder the terms: 61 + 2x = (-51 + 6x) Remove parenthesis around (-51 + 6x) 61 + 2x = -51 + 6x Solving 61 + 2x = -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. 61 + 2x + -6x = -51 + 6x + -6x Combine like terms: 2x + -6x = -4x 61 + -4x = -51 + 6x + -6x Combine like terms: 6x + -6x = 0 61 + -4x = -51 + 0 61 + -4x = -51 Add '-61' to each side of the equation. 61 + -61 + -4x = -51 + -61 Combine like terms: 61 + -61 = 0 0 + -4x = -51 + -61 -4x = -51 + -61 Combine like terms: -51 + -61 = -112 -4x = -112 Divide each side by '-4'. x = 28 Simplifying x = 28
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