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Simplifying 10x + 6(6 + -1y) = 2y + 12 10x + (6 * 6 + -1y * 6) = 2y + 12 10x + (36 + -6y) = 2y + 12 Reorder the terms: 36 + 10x + -6y = 2y + 12 Reorder the terms: 36 + 10x + -6y = 12 + 2y Solving 36 + 10x + -6y = 12 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 10x + -36 + -6y = 12 + -36 + 2y Reorder the terms: 36 + -36 + 10x + -6y = 12 + -36 + 2y Combine like terms: 36 + -36 = 0 0 + 10x + -6y = 12 + -36 + 2y 10x + -6y = 12 + -36 + 2y Combine like terms: 12 + -36 = -24 10x + -6y = -24 + 2y Add '6y' to each side of the equation. 10x + -6y + 6y = -24 + 2y + 6y Combine like terms: -6y + 6y = 0 10x + 0 = -24 + 2y + 6y 10x = -24 + 2y + 6y Combine like terms: 2y + 6y = 8y 10x = -24 + 8y Divide each side by '10'. x = -2.4 + 0.8y Simplifying x = -2.4 + 0.8y
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