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Simplifying (2x + -3y) * 5 + (8 + -1y)(-4) = 0 Reorder the terms for easier multiplication: 5(2x + -3y) + (8 + -1y)(-4) = 0 (2x * 5 + -3y * 5) + (8 + -1y)(-4) = 0 (10x + -15y) + (8 + -1y)(-4) = 0 Reorder the terms for easier multiplication: 10x + -15y + -4(8 + -1y) = 0 10x + -15y + (8 * -4 + -1y * -4) = 0 10x + -15y + (-32 + 4y) = 0 Reorder the terms: -32 + 10x + -15y + 4y = 0 Combine like terms: -15y + 4y = -11y -32 + 10x + -11y = 0 Solving -32 + 10x + -11y = 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 + 10x + 32 + -11y = 0 + 32 Reorder the terms: -32 + 32 + 10x + -11y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 10x + -11y = 0 + 32 10x + -11y = 0 + 32 Combine like terms: 0 + 32 = 32 10x + -11y = 32 Add '11y' to each side of the equation. 10x + -11y + 11y = 32 + 11y Combine like terms: -11y + 11y = 0 10x + 0 = 32 + 11y 10x = 32 + 11y Divide each side by '10'. x = 3.2 + 1.1y Simplifying x = 3.2 + 1.1y
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