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Simplifying 4x + -1(9 + -3x) = 5(2y + 8) 4x + (9 * -1 + -3x * -1) = 5(2y + 8) 4x + (-9 + 3x) = 5(2y + 8) Reorder the terms: -9 + 4x + 3x = 5(2y + 8) Combine like terms: 4x + 3x = 7x -9 + 7x = 5(2y + 8) Reorder the terms: -9 + 7x = 5(8 + 2y) -9 + 7x = (8 * 5 + 2y * 5) -9 + 7x = (40 + 10y) Solving -9 + 7x = 40 + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7x = 40 + 9 + 10y Combine like terms: -9 + 9 = 0 0 + 7x = 40 + 9 + 10y 7x = 40 + 9 + 10y Combine like terms: 40 + 9 = 49 7x = 49 + 10y Divide each side by '7'. x = 7 + 1.428571429y Simplifying x = 7 + 1.428571429y
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