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Simplifying 4(x + y) + -12(2 + -1x) + 17y = 0 (x * 4 + y * 4) + -12(2 + -1x) + 17y = 0 (4x + 4y) + -12(2 + -1x) + 17y = 0 4x + 4y + (2 * -12 + -1x * -12) + 17y = 0 4x + 4y + (-24 + 12x) + 17y = 0 Reorder the terms: -24 + 4x + 12x + 4y + 17y = 0 Combine like terms: 4x + 12x = 16x -24 + 16x + 4y + 17y = 0 Combine like terms: 4y + 17y = 21y -24 + 16x + 21y = 0 Solving -24 + 16x + 21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 16x + 24 + 21y = 0 + 24 Reorder the terms: -24 + 24 + 16x + 21y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 16x + 21y = 0 + 24 16x + 21y = 0 + 24 Combine like terms: 0 + 24 = 24 16x + 21y = 24 Add '-21y' to each side of the equation. 16x + 21y + -21y = 24 + -21y Combine like terms: 21y + -21y = 0 16x + 0 = 24 + -21y 16x = 24 + -21y Divide each side by '16'. x = 1.5 + -1.3125y Simplifying x = 1.5 + -1.3125y
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