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Simplifying (4 + 2) + -1(12x + 8) + 2(5x + -3) = 6 + 11 Combine like terms: 4 + 2 = 6 (6) + -1(12x + 8) + 2(5x + -3) = 6 + 11 6 + -1(12x + 8) + 2(5x + -3) = 6 + 11 Reorder the terms: 6 + -1(8 + 12x) + 2(5x + -3) = 6 + 11 6 + (8 * -1 + 12x * -1) + 2(5x + -3) = 6 + 11 6 + (-8 + -12x) + 2(5x + -3) = 6 + 11 Reorder the terms: 6 + -8 + -12x + 2(-3 + 5x) = 6 + 11 6 + -8 + -12x + (-3 * 2 + 5x * 2) = 6 + 11 6 + -8 + -12x + (-6 + 10x) = 6 + 11 Reorder the terms: 6 + -8 + -6 + -12x + 10x = 6 + 11 Combine like terms: 6 + -8 = -2 -2 + -6 + -12x + 10x = 6 + 11 Combine like terms: -2 + -6 = -8 -8 + -12x + 10x = 6 + 11 Combine like terms: -12x + 10x = -2x -8 + -2x = 6 + 11 Combine like terms: 6 + 11 = 17 -8 + -2x = 17 Solving -8 + -2x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -2x = 17 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 17 + 8 -2x = 17 + 8 Combine like terms: 17 + 8 = 25 -2x = 25 Divide each side by '-2'. x = -12.5 Simplifying x = -12.5
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