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Simplifying 5(2x + y + 2) + 12(y + -1) = 0 Reorder the terms: 5(2 + 2x + y) + 12(y + -1) = 0 (2 * 5 + 2x * 5 + y * 5) + 12(y + -1) = 0 (10 + 10x + 5y) + 12(y + -1) = 0 Reorder the terms: 10 + 10x + 5y + 12(-1 + y) = 0 10 + 10x + 5y + (-1 * 12 + y * 12) = 0 10 + 10x + 5y + (-12 + 12y) = 0 Reorder the terms: 10 + -12 + 10x + 5y + 12y = 0 Combine like terms: 10 + -12 = -2 -2 + 10x + 5y + 12y = 0 Combine like terms: 5y + 12y = 17y -2 + 10x + 17y = 0 Solving -2 + 10x + 17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 10x + 2 + 17y = 0 + 2 Reorder the terms: -2 + 2 + 10x + 17y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 10x + 17y = 0 + 2 10x + 17y = 0 + 2 Combine like terms: 0 + 2 = 2 10x + 17y = 2 Add '-17y' to each side of the equation. 10x + 17y + -17y = 2 + -17y Combine like terms: 17y + -17y = 0 10x + 0 = 2 + -17y 10x = 2 + -17y Divide each side by '10'. x = 0.2 + -1.7y Simplifying x = 0.2 + -1.7y
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