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Simplifying 5(3x + -6) + 3(6y + 3) = 0 Reorder the terms: 5(-6 + 3x) + 3(6y + 3) = 0 (-6 * 5 + 3x * 5) + 3(6y + 3) = 0 (-30 + 15x) + 3(6y + 3) = 0 Reorder the terms: -30 + 15x + 3(3 + 6y) = 0 -30 + 15x + (3 * 3 + 6y * 3) = 0 -30 + 15x + (9 + 18y) = 0 Reorder the terms: -30 + 9 + 15x + 18y = 0 Combine like terms: -30 + 9 = -21 -21 + 15x + 18y = 0 Solving -21 + 15x + 18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 15x + 21 + 18y = 0 + 21 Reorder the terms: -21 + 21 + 15x + 18y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 15x + 18y = 0 + 21 15x + 18y = 0 + 21 Combine like terms: 0 + 21 = 21 15x + 18y = 21 Add '-18y' to each side of the equation. 15x + 18y + -18y = 21 + -18y Combine like terms: 18y + -18y = 0 15x + 0 = 21 + -18y 15x = 21 + -18y Divide each side by '15'. x = 1.4 + -1.2y Simplifying x = 1.4 + -1.2y
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