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Simplifying 2(x + -4) + y(2x + -1) = 2x(y + 4) + -3(3x + 2.5) Reorder the terms: 2(-4 + x) + y(2x + -1) = 2x(y + 4) + -3(3x + 2.5) (-4 * 2 + x * 2) + y(2x + -1) = 2x(y + 4) + -3(3x + 2.5) (-8 + 2x) + y(2x + -1) = 2x(y + 4) + -3(3x + 2.5) Reorder the terms: -8 + 2x + y(-1 + 2x) = 2x(y + 4) + -3(3x + 2.5) -8 + 2x + (-1 * y + 2x * y) = 2x(y + 4) + -3(3x + 2.5) Reorder the terms: -8 + 2x + (2xy + -1y) = 2x(y + 4) + -3(3x + 2.5) -8 + 2x + (2xy + -1y) = 2x(y + 4) + -3(3x + 2.5) Reorder the terms: -8 + 2x + 2xy + -1y = 2x(4 + y) + -3(3x + 2.5) -8 + 2x + 2xy + -1y = (4 * 2x + y * 2x) + -3(3x + 2.5) -8 + 2x + 2xy + -1y = (8x + 2xy) + -3(3x + 2.5) Reorder the terms: -8 + 2x + 2xy + -1y = 8x + 2xy + -3(2.5 + 3x) -8 + 2x + 2xy + -1y = 8x + 2xy + (2.5 * -3 + 3x * -3) -8 + 2x + 2xy + -1y = 8x + 2xy + (-7.5 + -9x) Reorder the terms: -8 + 2x + 2xy + -1y = -7.5 + 8x + -9x + 2xy Combine like terms: 8x + -9x = -1x -8 + 2x + 2xy + -1y = -7.5 + -1x + 2xy Add '-2xy' to each side of the equation. -8 + 2x + 2xy + -2xy + -1y = -7.5 + -1x + 2xy + -2xy Combine like terms: 2xy + -2xy = 0 -8 + 2x + 0 + -1y = -7.5 + -1x + 2xy + -2xy -8 + 2x + -1y = -7.5 + -1x + 2xy + -2xy Combine like terms: 2xy + -2xy = 0 -8 + 2x + -1y = -7.5 + -1x + 0 -8 + 2x + -1y = -7.5 + -1x Solving -8 + 2x + -1y = -7.5 + -1x 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. -8 + 2x + x + -1y = -7.5 + -1x + x Combine like terms: 2x + x = 3x -8 + 3x + -1y = -7.5 + -1x + x Combine like terms: -1x + x = 0 -8 + 3x + -1y = -7.5 + 0 -8 + 3x + -1y = -7.5 Add '8' to each side of the equation. -8 + 3x + 8 + -1y = -7.5 + 8 Reorder the terms: -8 + 8 + 3x + -1y = -7.5 + 8 Combine like terms: -8 + 8 = 0 0 + 3x + -1y = -7.5 + 8 3x + -1y = -7.5 + 8 Combine like terms: -7.5 + 8 = 0.5 3x + -1y = 0.5 Add 'y' to each side of the equation. 3x + -1y + y = 0.5 + y Combine like terms: -1y + y = 0 3x + 0 = 0.5 + y 3x = 0.5 + y Divide each side by '3'. x = 0.1666666667 + 0.3333333333y Simplifying x = 0.1666666667 + 0.3333333333y
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