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Simplifying (2x + -1)(y + 3) + 5y + 1 = 2x(y + 4) + x Reorder the terms: (-1 + 2x)(y + 3) + 5y + 1 = 2x(y + 4) + x Reorder the terms: (-1 + 2x)(3 + y) + 5y + 1 = 2x(y + 4) + x Multiply (-1 + 2x) * (3 + y) (-1(3 + y) + 2x * (3 + y)) + 5y + 1 = 2x(y + 4) + x ((3 * -1 + y * -1) + 2x * (3 + y)) + 5y + 1 = 2x(y + 4) + x ((-3 + -1y) + 2x * (3 + y)) + 5y + 1 = 2x(y + 4) + x (-3 + -1y + (3 * 2x + y * 2x)) + 5y + 1 = 2x(y + 4) + x (-3 + -1y + (6x + 2xy)) + 5y + 1 = 2x(y + 4) + x Reorder the terms: (-3 + 6x + 2xy + -1y) + 5y + 1 = 2x(y + 4) + x (-3 + 6x + 2xy + -1y) + 5y + 1 = 2x(y + 4) + x Reorder the terms: -3 + 1 + 6x + 2xy + -1y + 5y = 2x(y + 4) + x Combine like terms: -3 + 1 = -2 -2 + 6x + 2xy + -1y + 5y = 2x(y + 4) + x Combine like terms: -1y + 5y = 4y -2 + 6x + 2xy + 4y = 2x(y + 4) + x Reorder the terms: -2 + 6x + 2xy + 4y = 2x(4 + y) + x -2 + 6x + 2xy + 4y = (4 * 2x + y * 2x) + x -2 + 6x + 2xy + 4y = (8x + 2xy) + x Reorder the terms: -2 + 6x + 2xy + 4y = 8x + x + 2xy Combine like terms: 8x + x = 9x -2 + 6x + 2xy + 4y = 9x + 2xy Add '-2xy' to each side of the equation. -2 + 6x + 2xy + -2xy + 4y = 9x + 2xy + -2xy Combine like terms: 2xy + -2xy = 0 -2 + 6x + 0 + 4y = 9x + 2xy + -2xy -2 + 6x + 4y = 9x + 2xy + -2xy Combine like terms: 2xy + -2xy = 0 -2 + 6x + 4y = 9x + 0 -2 + 6x + 4y = 9x Solving -2 + 6x + 4y = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 6x + -9x + 4y = 9x + -9x Combine like terms: 6x + -9x = -3x -2 + -3x + 4y = 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -3x + 4y = 0 Add '2' to each side of the equation. -2 + -3x + 2 + 4y = 0 + 2 Reorder the terms: -2 + 2 + -3x + 4y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x + 4y = 0 + 2 -3x + 4y = 0 + 2 Combine like terms: 0 + 2 = 2 -3x + 4y = 2 Add '-4y' to each side of the equation. -3x + 4y + -4y = 2 + -4y Combine like terms: 4y + -4y = 0 -3x + 0 = 2 + -4y -3x = 2 + -4y Divide each side by '-3'. x = -0.6666666667 + 1.333333333y Simplifying x = -0.6666666667 + 1.333333333y
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