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Simplifying 3[4y + 2(x + -3) + 2y + -4] = 0 Reorder the terms: 3[4y + 2(-3 + x) + 2y + -4] = 0 3[4y + (-3 * 2 + x * 2) + 2y + -4] = 0 3[4y + (-6 + 2x) + 2y + -4] = 0 Reorder the terms: 3[-6 + -4 + 2x + 4y + 2y] = 0 Combine like terms: -6 + -4 = -10 3[-10 + 2x + 4y + 2y] = 0 Combine like terms: 4y + 2y = 6y 3[-10 + 2x + 6y] = 0 [-10 * 3 + 2x * 3 + 6y * 3] = 0 [-30 + 6x + 18y] = 0 Solving -30 + 6x + 18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 6x + 30 + 18y = 0 + 30 Reorder the terms: -30 + 30 + 6x + 18y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 6x + 18y = 0 + 30 6x + 18y = 0 + 30 Combine like terms: 0 + 30 = 30 6x + 18y = 30 Add '-18y' to each side of the equation. 6x + 18y + -18y = 30 + -18y Combine like terms: 18y + -18y = 0 6x + 0 = 30 + -18y 6x = 30 + -18y Divide each side by '6'. x = 5 + -3y Simplifying x = 5 + -3y
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