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Simplifying 17 + -5(3 + -4x) + -1y = 4(2y + 10) + -8 17 + (3 * -5 + -4x * -5) + -1y = 4(2y + 10) + -8 17 + (-15 + 20x) + -1y = 4(2y + 10) + -8 Combine like terms: 17 + -15 = 2 2 + 20x + -1y = 4(2y + 10) + -8 Reorder the terms: 2 + 20x + -1y = 4(10 + 2y) + -8 2 + 20x + -1y = (10 * 4 + 2y * 4) + -8 2 + 20x + -1y = (40 + 8y) + -8 Reorder the terms: 2 + 20x + -1y = 40 + -8 + 8y Combine like terms: 40 + -8 = 32 2 + 20x + -1y = 32 + 8y Solving 2 + 20x + -1y = 32 + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 20x + -2 + -1y = 32 + -2 + 8y Reorder the terms: 2 + -2 + 20x + -1y = 32 + -2 + 8y Combine like terms: 2 + -2 = 0 0 + 20x + -1y = 32 + -2 + 8y 20x + -1y = 32 + -2 + 8y Combine like terms: 32 + -2 = 30 20x + -1y = 30 + 8y Add 'y' to each side of the equation. 20x + -1y + y = 30 + 8y + y Combine like terms: -1y + y = 0 20x + 0 = 30 + 8y + y 20x = 30 + 8y + y Combine like terms: 8y + y = 9y 20x = 30 + 9y Divide each side by '20'. x = 1.5 + 0.45y Simplifying x = 1.5 + 0.45y
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