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Simplifying 10 + -7(8 + -3x) = x + -6 10 + (8 * -7 + -3x * -7) = x + -6 10 + (-56 + 21x) = x + -6 Combine like terms: 10 + -56 = -46 -46 + 21x = x + -6 Reorder the terms: -46 + 21x = -6 + x Solving -46 + 21x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -46 + 21x + -1x = -6 + x + -1x Combine like terms: 21x + -1x = 20x -46 + 20x = -6 + x + -1x Combine like terms: x + -1x = 0 -46 + 20x = -6 + 0 -46 + 20x = -6 Add '46' to each side of the equation. -46 + 46 + 20x = -6 + 46 Combine like terms: -46 + 46 = 0 0 + 20x = -6 + 46 20x = -6 + 46 Combine like terms: -6 + 46 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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