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Simplifying 5x + 8y = 4x + 2 + -7y Reorder the terms: 5x + 8y = 2 + 4x + -7y Solving 5x + 8y = 2 + 4x + -7y 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. 5x + -4x + 8y = 2 + 4x + -4x + -7y Combine like terms: 5x + -4x = 1x 1x + 8y = 2 + 4x + -4x + -7y Combine like terms: 4x + -4x = 0 1x + 8y = 2 + 0 + -7y 1x + 8y = 2 + -7y Add '-8y' to each side of the equation. 1x + 8y + -8y = 2 + -7y + -8y Combine like terms: 8y + -8y = 0 1x + 0 = 2 + -7y + -8y 1x = 2 + -7y + -8y Combine like terms: -7y + -8y = -15y 1x = 2 + -15y Divide each side by '1'. x = 2 + -15y Simplifying x = 2 + -15y
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