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Simplifying 3(y + 5x) + -4(8 + -1x) = 0 Reorder the terms: 3(5x + y) + -4(8 + -1x) = 0 (5x * 3 + y * 3) + -4(8 + -1x) = 0 (15x + 3y) + -4(8 + -1x) = 0 15x + 3y + (8 * -4 + -1x * -4) = 0 15x + 3y + (-32 + 4x) = 0 Reorder the terms: -32 + 15x + 4x + 3y = 0 Combine like terms: 15x + 4x = 19x -32 + 19x + 3y = 0 Solving -32 + 19x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 19x + 32 + 3y = 0 + 32 Reorder the terms: -32 + 32 + 19x + 3y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 19x + 3y = 0 + 32 19x + 3y = 0 + 32 Combine like terms: 0 + 32 = 32 19x + 3y = 32 Add '-3y' to each side of the equation. 19x + 3y + -3y = 32 + -3y Combine like terms: 3y + -3y = 0 19x + 0 = 32 + -3y 19x = 32 + -3y Divide each side by '19'. x = 1.684210526 + -0.1578947368y Simplifying x = 1.684210526 + -0.1578947368y
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