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Simplifying 12 + -1(3x + -6) + -5(7 + -1x) = 0 Reorder the terms: 12 + -1(-6 + 3x) + -5(7 + -1x) = 0 12 + (-6 * -1 + 3x * -1) + -5(7 + -1x) = 0 12 + (6 + -3x) + -5(7 + -1x) = 0 12 + 6 + -3x + (7 * -5 + -1x * -5) = 0 12 + 6 + -3x + (-35 + 5x) = 0 Reorder the terms: 12 + 6 + -35 + -3x + 5x = 0 Combine like terms: 12 + 6 = 18 18 + -35 + -3x + 5x = 0 Combine like terms: 18 + -35 = -17 -17 + -3x + 5x = 0 Combine like terms: -3x + 5x = 2x -17 + 2x = 0 Solving -17 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 2x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 0 + 17 2x = 0 + 17 Combine like terms: 0 + 17 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
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