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Simplifying 3x + 2y + -4 = 2(5 + -1y) Reorder the terms: -4 + 3x + 2y = 2(5 + -1y) -4 + 3x + 2y = (5 * 2 + -1y * 2) -4 + 3x + 2y = (10 + -2y) Solving -4 + 3x + 2y = 10 + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3x + 4 + 2y = 10 + 4 + -2y Reorder the terms: -4 + 4 + 3x + 2y = 10 + 4 + -2y Combine like terms: -4 + 4 = 0 0 + 3x + 2y = 10 + 4 + -2y 3x + 2y = 10 + 4 + -2y Combine like terms: 10 + 4 = 14 3x + 2y = 14 + -2y Add '-2y' to each side of the equation. 3x + 2y + -2y = 14 + -2y + -2y Combine like terms: 2y + -2y = 0 3x + 0 = 14 + -2y + -2y 3x = 14 + -2y + -2y Combine like terms: -2y + -2y = -4y 3x = 14 + -4y Divide each side by '3'. x = 4.666666667 + -1.333333333y Simplifying x = 4.666666667 + -1.333333333y
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