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Simplifying 2x + -6y + -1(-2x + 4y) = 4 + 6 2x + -6y + (-2x * -1 + 4y * -1) = 4 + 6 2x + -6y + (2x + -4y) = 4 + 6 Reorder the terms: 2x + 2x + -6y + -4y = 4 + 6 Combine like terms: 2x + 2x = 4x 4x + -6y + -4y = 4 + 6 Combine like terms: -6y + -4y = -10y 4x + -10y = 4 + 6 Combine like terms: 4 + 6 = 10 4x + -10y = 10 Solving 4x + -10y = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 4x + -10y + 10y = 10 + 10y Combine like terms: -10y + 10y = 0 4x + 0 = 10 + 10y 4x = 10 + 10y Divide each side by '4'. x = 2.5 + 2.5y Simplifying x = 2.5 + 2.5y
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