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Simplifying 4x + -5y + 4 = 3y + 2x + 7 Reorder the terms: 4 + 4x + -5y = 3y + 2x + 7 Reorder the terms: 4 + 4x + -5y = 7 + 2x + 3y Solving 4 + 4x + -5y = 7 + 2x + 3y 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. 4 + 4x + -2x + -5y = 7 + 2x + -2x + 3y Combine like terms: 4x + -2x = 2x 4 + 2x + -5y = 7 + 2x + -2x + 3y Combine like terms: 2x + -2x = 0 4 + 2x + -5y = 7 + 0 + 3y 4 + 2x + -5y = 7 + 3y Add '-4' to each side of the equation. 4 + 2x + -4 + -5y = 7 + -4 + 3y Reorder the terms: 4 + -4 + 2x + -5y = 7 + -4 + 3y Combine like terms: 4 + -4 = 0 0 + 2x + -5y = 7 + -4 + 3y 2x + -5y = 7 + -4 + 3y Combine like terms: 7 + -4 = 3 2x + -5y = 3 + 3y Add '5y' to each side of the equation. 2x + -5y + 5y = 3 + 3y + 5y Combine like terms: -5y + 5y = 0 2x + 0 = 3 + 3y + 5y 2x = 3 + 3y + 5y Combine like terms: 3y + 5y = 8y 2x = 3 + 8y Divide each side by '2'. x = 1.5 + 4y Simplifying x = 1.5 + 4y
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