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Simplifying -3x + 7 = -2x + 5y Reorder the terms: 7 + -3x = -2x + 5y Solving 7 + -3x = -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. 7 + -3x + 2x = -2x + 2x + 5y Combine like terms: -3x + 2x = -1x 7 + -1x = -2x + 2x + 5y Combine like terms: -2x + 2x = 0 7 + -1x = 0 + 5y 7 + -1x = 5y Add '-7' to each side of the equation. 7 + -7 + -1x = -7 + 5y Combine like terms: 7 + -7 = 0 0 + -1x = -7 + 5y -1x = -7 + 5y Divide each side by '-1'. x = 7 + -5y Simplifying x = 7 + -5y
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