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Simplifying y + (2x + 1) = 5y + (6x + 13) Reorder the terms: y + (1 + 2x) = 5y + (6x + 13) Remove parenthesis around (1 + 2x) y + 1 + 2x = 5y + (6x + 13) Reorder the terms: 1 + 2x + y = 5y + (6x + 13) Reorder the terms: 1 + 2x + y = 5y + (13 + 6x) Remove parenthesis around (13 + 6x) 1 + 2x + y = 5y + 13 + 6x Reorder the terms: 1 + 2x + y = 13 + 6x + 5y Solving 1 + 2x + y = 13 + 6x + 5y 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. 1 + 2x + -6x + y = 13 + 6x + -6x + 5y Combine like terms: 2x + -6x = -4x 1 + -4x + y = 13 + 6x + -6x + 5y Combine like terms: 6x + -6x = 0 1 + -4x + y = 13 + 0 + 5y 1 + -4x + y = 13 + 5y Add '-1' to each side of the equation. 1 + -4x + -1 + y = 13 + -1 + 5y Reorder the terms: 1 + -1 + -4x + y = 13 + -1 + 5y Combine like terms: 1 + -1 = 0 0 + -4x + y = 13 + -1 + 5y -4x + y = 13 + -1 + 5y Combine like terms: 13 + -1 = 12 -4x + y = 12 + 5y Add '-1y' to each side of the equation. -4x + y + -1y = 12 + 5y + -1y Combine like terms: y + -1y = 0 -4x + 0 = 12 + 5y + -1y -4x = 12 + 5y + -1y Combine like terms: 5y + -1y = 4y -4x = 12 + 4y Divide each side by '-4'. x = -3 + -1y Simplifying x = -3 + -1y
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