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Simplifying 3(2x + 5y + -8) + 2(2x + 3y + -4) = 0 Reorder the terms: 3(-8 + 2x + 5y) + 2(2x + 3y + -4) = 0 (-8 * 3 + 2x * 3 + 5y * 3) + 2(2x + 3y + -4) = 0 (-24 + 6x + 15y) + 2(2x + 3y + -4) = 0 Reorder the terms: -24 + 6x + 15y + 2(-4 + 2x + 3y) = 0 -24 + 6x + 15y + (-4 * 2 + 2x * 2 + 3y * 2) = 0 -24 + 6x + 15y + (-8 + 4x + 6y) = 0 Reorder the terms: -24 + -8 + 6x + 4x + 15y + 6y = 0 Combine like terms: -24 + -8 = -32 -32 + 6x + 4x + 15y + 6y = 0 Combine like terms: 6x + 4x = 10x -32 + 10x + 15y + 6y = 0 Combine like terms: 15y + 6y = 21y -32 + 10x + 21y = 0 Solving -32 + 10x + 21y = 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 + 21y = 0 + 32 Reorder the terms: -32 + 32 + 10x + 21y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 10x + 21y = 0 + 32 10x + 21y = 0 + 32 Combine like terms: 0 + 32 = 32 10x + 21y = 32 Add '-21y' to each side of the equation. 10x + 21y + -21y = 32 + -21y Combine like terms: 21y + -21y = 0 10x + 0 = 32 + -21y 10x = 32 + -21y Divide each side by '10'. x = 3.2 + -2.1y Simplifying x = 3.2 + -2.1y
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