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Simplifying -46 = 3(-9x + 2) + -1(-7x + -8) Reorder the terms: -46 = 3(2 + -9x) + -1(-7x + -8) -46 = (2 * 3 + -9x * 3) + -1(-7x + -8) -46 = (6 + -27x) + -1(-7x + -8) Reorder the terms: -46 = 6 + -27x + -1(-8 + -7x) -46 = 6 + -27x + (-8 * -1 + -7x * -1) -46 = 6 + -27x + (8 + 7x) Reorder the terms: -46 = 6 + 8 + -27x + 7x Combine like terms: 6 + 8 = 14 -46 = 14 + -27x + 7x Combine like terms: -27x + 7x = -20x -46 = 14 + -20x Solving -46 = 14 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -46 + 20x = 14 + -20x + 20x Combine like terms: -20x + 20x = 0 -46 + 20x = 14 + 0 -46 + 20x = 14 Add '46' to each side of the equation. -46 + 46 + 20x = 14 + 46 Combine like terms: -46 + 46 = 0 0 + 20x = 14 + 46 20x = 14 + 46 Combine like terms: 14 + 46 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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