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Simplifying 9 + -4(x + -1y) = -6x + 6 9 + (x * -4 + -1y * -4) = -6x + 6 9 + (-4x + 4y) = -6x + 6 Reorder the terms: 9 + -4x + 4y = 6 + -6x Solving 9 + -4x + 4y = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + -4x + 6x + 4y = 6 + -6x + 6x Combine like terms: -4x + 6x = 2x 9 + 2x + 4y = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 2x + 4y = 6 + 0 9 + 2x + 4y = 6 Add '-9' to each side of the equation. 9 + 2x + -9 + 4y = 6 + -9 Reorder the terms: 9 + -9 + 2x + 4y = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 2x + 4y = 6 + -9 2x + 4y = 6 + -9 Combine like terms: 6 + -9 = -3 2x + 4y = -3 Add '-4y' to each side of the equation. 2x + 4y + -4y = -3 + -4y Combine like terms: 4y + -4y = 0 2x + 0 = -3 + -4y 2x = -3 + -4y Divide each side by '2'. x = -1.5 + -2y Simplifying x = -1.5 + -2y
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