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Simplifying 10x + 7y = 2x + 5y + 135 Reorder the terms: 10x + 7y = 135 + 2x + 5y Solving 10x + 7y = 135 + 2x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10x + -2x + 7y = 135 + 2x + -2x + 5y Combine like terms: 10x + -2x = 8x 8x + 7y = 135 + 2x + -2x + 5y Combine like terms: 2x + -2x = 0 8x + 7y = 135 + 0 + 5y 8x + 7y = 135 + 5y Add '-7y' to each side of the equation. 8x + 7y + -7y = 135 + 5y + -7y Combine like terms: 7y + -7y = 0 8x + 0 = 135 + 5y + -7y 8x = 135 + 5y + -7y Combine like terms: 5y + -7y = -2y 8x = 135 + -2y Divide each side by '8'. x = 16.875 + -0.25y Simplifying x = 16.875 + -0.25y
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