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Simplifying 4x + 2y = 10 + -4x Solving 4x + 2y = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4x + 4x + 2y = 10 + -4x + 4x Combine like terms: 4x + 4x = 8x 8x + 2y = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 8x + 2y = 10 + 0 8x + 2y = 10 Add '-2y' to each side of the equation. 8x + 2y + -2y = 10 + -2y Combine like terms: 2y + -2y = 0 8x + 0 = 10 + -2y 8x = 10 + -2y Divide each side by '8'. x = 1.25 + -0.25y Simplifying x = 1.25 + -0.25y
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