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Simplifying -3(4x + -5y + 6) + 8x + -9 = 0 Reorder the terms: -3(6 + 4x + -5y) + 8x + -9 = 0 (6 * -3 + 4x * -3 + -5y * -3) + 8x + -9 = 0 (-18 + -12x + 15y) + 8x + -9 = 0 Reorder the terms: -18 + -9 + -12x + 8x + 15y = 0 Combine like terms: -18 + -9 = -27 -27 + -12x + 8x + 15y = 0 Combine like terms: -12x + 8x = -4x -27 + -4x + 15y = 0 Solving -27 + -4x + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + -4x + 27 + 15y = 0 + 27 Reorder the terms: -27 + 27 + -4x + 15y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -4x + 15y = 0 + 27 -4x + 15y = 0 + 27 Combine like terms: 0 + 27 = 27 -4x + 15y = 27 Add '-15y' to each side of the equation. -4x + 15y + -15y = 27 + -15y Combine like terms: 15y + -15y = 0 -4x + 0 = 27 + -15y -4x = 27 + -15y Divide each side by '-4'. x = -6.75 + 3.75y Simplifying x = -6.75 + 3.75y
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