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Simplifying 2x + 6y + -1 = 5x + 5y + 3 Reorder the terms: -1 + 2x + 6y = 5x + 5y + 3 Reorder the terms: -1 + 2x + 6y = 3 + 5x + 5y Solving -1 + 2x + 6y = 3 + 5x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 2x + -5x + 6y = 3 + 5x + -5x + 5y Combine like terms: 2x + -5x = -3x -1 + -3x + 6y = 3 + 5x + -5x + 5y Combine like terms: 5x + -5x = 0 -1 + -3x + 6y = 3 + 0 + 5y -1 + -3x + 6y = 3 + 5y Add '1' to each side of the equation. -1 + -3x + 1 + 6y = 3 + 1 + 5y Reorder the terms: -1 + 1 + -3x + 6y = 3 + 1 + 5y Combine like terms: -1 + 1 = 0 0 + -3x + 6y = 3 + 1 + 5y -3x + 6y = 3 + 1 + 5y Combine like terms: 3 + 1 = 4 -3x + 6y = 4 + 5y Add '-6y' to each side of the equation. -3x + 6y + -6y = 4 + 5y + -6y Combine like terms: 6y + -6y = 0 -3x + 0 = 4 + 5y + -6y -3x = 4 + 5y + -6y Combine like terms: 5y + -6y = -1y -3x = 4 + -1y Divide each side by '-3'. x = -1.333333333 + 0.3333333333y Simplifying x = -1.333333333 + 0.3333333333y
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