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Simplifying 4(3x + -4) = 5(7y + 2) Reorder the terms: 4(-4 + 3x) = 5(7y + 2) (-4 * 4 + 3x * 4) = 5(7y + 2) (-16 + 12x) = 5(7y + 2) Reorder the terms: -16 + 12x = 5(2 + 7y) -16 + 12x = (2 * 5 + 7y * 5) -16 + 12x = (10 + 35y) Solving -16 + 12x = 10 + 35y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 12x = 10 + 16 + 35y Combine like terms: -16 + 16 = 0 0 + 12x = 10 + 16 + 35y 12x = 10 + 16 + 35y Combine like terms: 10 + 16 = 26 12x = 26 + 35y Divide each side by '12'. x = 2.166666667 + 2.916666667y Simplifying x = 2.166666667 + 2.916666667y
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