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Simplifying 2x + 2y = 6x + 10 Reorder the terms: 2x + 2y = 10 + 6x Solving 2x + 2y = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2x + -6x + 2y = 10 + 6x + -6x Combine like terms: 2x + -6x = -4x -4x + 2y = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -4x + 2y = 10 + 0 -4x + 2y = 10 Add '-2y' to each side of the equation. -4x + 2y + -2y = 10 + -2y Combine like terms: 2y + -2y = 0 -4x + 0 = 10 + -2y -4x = 10 + -2y Divide each side by '-4'. x = -2.5 + 0.5y Simplifying x = -2.5 + 0.5y
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