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Simplifying 7x + -3y = 4(x + 4) + 4y Reorder the terms: 7x + -3y = 4(4 + x) + 4y 7x + -3y = (4 * 4 + x * 4) + 4y 7x + -3y = (16 + 4x) + 4y Solving 7x + -3y = 16 + 4x + 4y 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. 7x + -4x + -3y = 16 + 4x + -4x + 4y Combine like terms: 7x + -4x = 3x 3x + -3y = 16 + 4x + -4x + 4y Combine like terms: 4x + -4x = 0 3x + -3y = 16 + 0 + 4y 3x + -3y = 16 + 4y Add '3y' to each side of the equation. 3x + -3y + 3y = 16 + 4y + 3y Combine like terms: -3y + 3y = 0 3x + 0 = 16 + 4y + 3y 3x = 16 + 4y + 3y Combine like terms: 4y + 3y = 7y 3x = 16 + 7y Divide each side by '3'. x = 5.333333333 + 2.333333333y Simplifying x = 5.333333333 + 2.333333333y
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