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Simplifying 2(x + -3y) + 2 = 2(5 + -1y) (x * 2 + -3y * 2) + 2 = 2(5 + -1y) (2x + -6y) + 2 = 2(5 + -1y) Reorder the terms: 2 + 2x + -6y = 2(5 + -1y) 2 + 2x + -6y = (5 * 2 + -1y * 2) 2 + 2x + -6y = (10 + -2y) Solving 2 + 2x + -6y = 10 + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2x + -2 + -6y = 10 + -2 + -2y Reorder the terms: 2 + -2 + 2x + -6y = 10 + -2 + -2y Combine like terms: 2 + -2 = 0 0 + 2x + -6y = 10 + -2 + -2y 2x + -6y = 10 + -2 + -2y Combine like terms: 10 + -2 = 8 2x + -6y = 8 + -2y Add '6y' to each side of the equation. 2x + -6y + 6y = 8 + -2y + 6y Combine like terms: -6y + 6y = 0 2x + 0 = 8 + -2y + 6y 2x = 8 + -2y + 6y Combine like terms: -2y + 6y = 4y 2x = 8 + 4y Divide each side by '2'. x = 4 + 2y Simplifying x = 4 + 2y
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