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Simplifying 5(2x + 4) + -6(3y + -5) = 30 Reorder the terms: 5(4 + 2x) + -6(3y + -5) = 30 (4 * 5 + 2x * 5) + -6(3y + -5) = 30 (20 + 10x) + -6(3y + -5) = 30 Reorder the terms: 20 + 10x + -6(-5 + 3y) = 30 20 + 10x + (-5 * -6 + 3y * -6) = 30 20 + 10x + (30 + -18y) = 30 Reorder the terms: 20 + 30 + 10x + -18y = 30 Combine like terms: 20 + 30 = 50 50 + 10x + -18y = 30 Solving 50 + 10x + -18y = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 10x + -50 + -18y = 30 + -50 Reorder the terms: 50 + -50 + 10x + -18y = 30 + -50 Combine like terms: 50 + -50 = 0 0 + 10x + -18y = 30 + -50 10x + -18y = 30 + -50 Combine like terms: 30 + -50 = -20 10x + -18y = -20 Add '18y' to each side of the equation. 10x + -18y + 18y = -20 + 18y Combine like terms: -18y + 18y = 0 10x + 0 = -20 + 18y 10x = -20 + 18y Divide each side by '10'. x = -2 + 1.8y Simplifying x = -2 + 1.8y
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