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Simplifying 3(5x + -8y + 2) + 7(4y + -1x + -5) = 0 Reorder the terms: 3(2 + 5x + -8y) + 7(4y + -1x + -5) = 0 (2 * 3 + 5x * 3 + -8y * 3) + 7(4y + -1x + -5) = 0 (6 + 15x + -24y) + 7(4y + -1x + -5) = 0 Reorder the terms: 6 + 15x + -24y + 7(-5 + -1x + 4y) = 0 6 + 15x + -24y + (-5 * 7 + -1x * 7 + 4y * 7) = 0 6 + 15x + -24y + (-35 + -7x + 28y) = 0 Reorder the terms: 6 + -35 + 15x + -7x + -24y + 28y = 0 Combine like terms: 6 + -35 = -29 -29 + 15x + -7x + -24y + 28y = 0 Combine like terms: 15x + -7x = 8x -29 + 8x + -24y + 28y = 0 Combine like terms: -24y + 28y = 4y -29 + 8x + 4y = 0 Solving -29 + 8x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 8x + 29 + 4y = 0 + 29 Reorder the terms: -29 + 29 + 8x + 4y = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 8x + 4y = 0 + 29 8x + 4y = 0 + 29 Combine like terms: 0 + 29 = 29 8x + 4y = 29 Add '-4y' to each side of the equation. 8x + 4y + -4y = 29 + -4y Combine like terms: 4y + -4y = 0 8x + 0 = 29 + -4y 8x = 29 + -4y Divide each side by '8'. x = 3.625 + -0.5y Simplifying x = 3.625 + -0.5y
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