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Simplifying (4x + 3y) + (2x + -5y) = (15) + (1) Remove parenthesis around (4x + 3y) 4x + 3y + (2x + -5y) = (15) + (1) Remove parenthesis around (2x + -5y) 4x + 3y + 2x + -5y = (15) + (1) Reorder the terms: 4x + 2x + 3y + -5y = (15) + (1) Combine like terms: 4x + 2x = 6x 6x + 3y + -5y = (15) + (1) Combine like terms: 3y + -5y = -2y 6x + -2y = (15) + (1) 6x + -2y = 15 + (1) 6x + -2y = 15 + 1 Combine like terms: 15 + 1 = 16 6x + -2y = 16 Solving 6x + -2y = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 6x + -2y + 2y = 16 + 2y Combine like terms: -2y + 2y = 0 6x + 0 = 16 + 2y 6x = 16 + 2y Divide each side by '6'. x = 2.666666667 + 0.3333333333y Simplifying x = 2.666666667 + 0.3333333333y
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