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Simplifying 4x + 2 + 2y = 10 Reorder the terms: 2 + 4x + 2y = 10 Solving 2 + 4x + 2y = 10 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 + 4x + -2 + 2y = 10 + -2 Reorder the terms: 2 + -2 + 4x + 2y = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4x + 2y = 10 + -2 4x + 2y = 10 + -2 Combine like terms: 10 + -2 = 8 4x + 2y = 8 Add '-2y' to each side of the equation. 4x + 2y + -2y = 8 + -2y Combine like terms: 2y + -2y = 0 4x + 0 = 8 + -2y 4x = 8 + -2y Divide each side by '4'. x = 2 + -0.5y Simplifying x = 2 + -0.5y
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