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Simplifying 1.2x + -1(x + y) + -100 = 0.75y + -1(x + y) + -100 1.2x + (x * -1 + y * -1) + -100 = 0.75y + -1(x + y) + -100 1.2x + (-1x + -1y) + -100 = 0.75y + -1(x + y) + -100 Reorder the terms: -100 + 1.2x + -1x + -1y = 0.75y + -1(x + y) + -100 Combine like terms: 1.2x + -1x = 0.2x -100 + 0.2x + -1y = 0.75y + -1(x + y) + -100 -100 + 0.2x + -1y = 0.75y + (x * -1 + y * -1) + -100 -100 + 0.2x + -1y = 0.75y + (-1x + -1y) + -100 Reorder the terms: -100 + 0.2x + -1y = -100 + -1x + 0.75y + -1y Combine like terms: 0.75y + -1y = -0.25y -100 + 0.2x + -1y = -100 + -1x + -0.25y Add '100' to each side of the equation. -100 + 0.2x + 100 + -1y = -100 + -1x + 100 + -0.25y Reorder the terms: -100 + 100 + 0.2x + -1y = -100 + -1x + 100 + -0.25y Combine like terms: -100 + 100 = 0 0 + 0.2x + -1y = -100 + -1x + 100 + -0.25y 0.2x + -1y = -100 + -1x + 100 + -0.25y Reorder the terms: 0.2x + -1y = -100 + 100 + -1x + -0.25y Combine like terms: -100 + 100 = 0 0.2x + -1y = 0 + -1x + -0.25y 0.2x + -1y = -1x + -0.25y Solving 0.2x + -1y = -1x + -0.25y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 0.2x + x + -1y = -1x + x + -0.25y Combine like terms: 0.2x + x = 1.2x 1.2x + -1y = -1x + x + -0.25y Combine like terms: -1x + x = 0 1.2x + -1y = 0 + -0.25y 1.2x + -1y = -0.25y Add 'y' to each side of the equation. 1.2x + -1y + y = -0.25y + y Combine like terms: -1y + y = 0 1.2x + 0 = -0.25y + y 1.2x = -0.25y + y Combine like terms: -0.25y + y = 0.75y 1.2x = 0.75y Divide each side by '1.2'. x = 0.625y Simplifying x = 0.625y
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