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Simplifying 2[4x + -3(y + -3)] = 0 Reorder the terms: 2[4x + -3(-3 + y)] = 0 2[4x + (-3 * -3 + y * -3)] = 0 2[4x + (9 + -3y)] = 0 Reorder the terms: 2[9 + 4x + -3y] = 0 [9 * 2 + 4x * 2 + -3y * 2] = 0 [18 + 8x + -6y] = 0 Solving 18 + 8x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 8x + -18 + -6y = 0 + -18 Reorder the terms: 18 + -18 + 8x + -6y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 8x + -6y = 0 + -18 8x + -6y = 0 + -18 Combine like terms: 0 + -18 = -18 8x + -6y = -18 Add '6y' to each side of the equation. 8x + -6y + 6y = -18 + 6y Combine like terms: -6y + 6y = 0 8x + 0 = -18 + 6y 8x = -18 + 6y Divide each side by '8'. x = -2.25 + 0.75y Simplifying x = -2.25 + 0.75y
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