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Simplifying 8 + -2(5 + -1x) = 3x + -1(7 + -2x) 8 + (5 * -2 + -1x * -2) = 3x + -1(7 + -2x) 8 + (-10 + 2x) = 3x + -1(7 + -2x) Combine like terms: 8 + -10 = -2 -2 + 2x = 3x + -1(7 + -2x) -2 + 2x = 3x + (7 * -1 + -2x * -1) -2 + 2x = 3x + (-7 + 2x) Reorder the terms: -2 + 2x = -7 + 3x + 2x Combine like terms: 3x + 2x = 5x -2 + 2x = -7 + 5x Solving -2 + 2x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 2x + -5x = -7 + 5x + -5x Combine like terms: 2x + -5x = -3x -2 + -3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -3x = -7 + 0 -2 + -3x = -7 Add '2' to each side of the equation. -2 + 2 + -3x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -7 + 2 -3x = -7 + 2 Combine like terms: -7 + 2 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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