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Simplifying (4y + -2) + -1(12y + 8) + 2(5x + -3) = 6 + 11 Reorder the terms: (-2 + 4y) + -1(12y + 8) + 2(5x + -3) = 6 + 11 Remove parenthesis around (-2 + 4y) -2 + 4y + -1(12y + 8) + 2(5x + -3) = 6 + 11 Reorder the terms: -2 + 4y + -1(8 + 12y) + 2(5x + -3) = 6 + 11 -2 + 4y + (8 * -1 + 12y * -1) + 2(5x + -3) = 6 + 11 -2 + 4y + (-8 + -12y) + 2(5x + -3) = 6 + 11 Reorder the terms: -2 + 4y + -8 + -12y + 2(-3 + 5x) = 6 + 11 -2 + 4y + -8 + -12y + (-3 * 2 + 5x * 2) = 6 + 11 -2 + 4y + -8 + -12y + (-6 + 10x) = 6 + 11 Reorder the terms: -2 + -8 + -6 + 10x + 4y + -12y = 6 + 11 Combine like terms: -2 + -8 = -10 -10 + -6 + 10x + 4y + -12y = 6 + 11 Combine like terms: -10 + -6 = -16 -16 + 10x + 4y + -12y = 6 + 11 Combine like terms: 4y + -12y = -8y -16 + 10x + -8y = 6 + 11 Combine like terms: 6 + 11 = 17 -16 + 10x + -8y = 17 Solving -16 + 10x + -8y = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 10x + 16 + -8y = 17 + 16 Reorder the terms: -16 + 16 + 10x + -8y = 17 + 16 Combine like terms: -16 + 16 = 0 0 + 10x + -8y = 17 + 16 10x + -8y = 17 + 16 Combine like terms: 17 + 16 = 33 10x + -8y = 33 Add '8y' to each side of the equation. 10x + -8y + 8y = 33 + 8y Combine like terms: -8y + 8y = 0 10x + 0 = 33 + 8y 10x = 33 + 8y Divide each side by '10'. x = 3.3 + 0.8y Simplifying x = 3.3 + 0.8y
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