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Simplifying 4x + -5y + 7 = 14 + -3 + 7x + -1y Reorder the terms: 7 + 4x + -5y = 14 + -3 + 7x + -1y Combine like terms: 14 + -3 = 11 7 + 4x + -5y = 11 + 7x + -1y Solving 7 + 4x + -5y = 11 + 7x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + 4x + -7x + -5y = 11 + 7x + -7x + -1y Combine like terms: 4x + -7x = -3x 7 + -3x + -5y = 11 + 7x + -7x + -1y Combine like terms: 7x + -7x = 0 7 + -3x + -5y = 11 + 0 + -1y 7 + -3x + -5y = 11 + -1y Add '-7' to each side of the equation. 7 + -3x + -7 + -5y = 11 + -7 + -1y Reorder the terms: 7 + -7 + -3x + -5y = 11 + -7 + -1y Combine like terms: 7 + -7 = 0 0 + -3x + -5y = 11 + -7 + -1y -3x + -5y = 11 + -7 + -1y Combine like terms: 11 + -7 = 4 -3x + -5y = 4 + -1y Add '5y' to each side of the equation. -3x + -5y + 5y = 4 + -1y + 5y Combine like terms: -5y + 5y = 0 -3x + 0 = 4 + -1y + 5y -3x = 4 + -1y + 5y Combine like terms: -1y + 5y = 4y -3x = 4 + 4y Divide each side by '-3'. x = -1.333333333 + -1.333333333y Simplifying x = -1.333333333 + -1.333333333y
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