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Simplifying 10x + -2y = 14x + 8y Solving 10x + -2y = 14x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 10x + -14x + -2y = 14x + -14x + 8y Combine like terms: 10x + -14x = -4x -4x + -2y = 14x + -14x + 8y Combine like terms: 14x + -14x = 0 -4x + -2y = 0 + 8y -4x + -2y = 8y Add '2y' to each side of the equation. -4x + -2y + 2y = 8y + 2y Combine like terms: -2y + 2y = 0 -4x + 0 = 8y + 2y -4x = 8y + 2y Combine like terms: 8y + 2y = 10y -4x = 10y Divide each side by '-4'. x = -2.5y Simplifying x = -2.5y
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