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Simplifying 100 + -8(x + -1(5 + -2x)) = 50 + 2x 100 + -8(x + (5 * -1 + -2x * -1)) = 50 + 2x 100 + -8(x + (-5 + 2x)) = 50 + 2x Reorder the terms: 100 + -8(-5 + x + 2x) = 50 + 2x Combine like terms: x + 2x = 3x 100 + -8(-5 + 3x) = 50 + 2x 100 + (-5 * -8 + 3x * -8) = 50 + 2x 100 + (40 + -24x) = 50 + 2x Combine like terms: 100 + 40 = 140 140 + -24x = 50 + 2x Solving 140 + -24x = 50 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 140 + -24x + -2x = 50 + 2x + -2x Combine like terms: -24x + -2x = -26x 140 + -26x = 50 + 2x + -2x Combine like terms: 2x + -2x = 0 140 + -26x = 50 + 0 140 + -26x = 50 Add '-140' to each side of the equation. 140 + -140 + -26x = 50 + -140 Combine like terms: 140 + -140 = 0 0 + -26x = 50 + -140 -26x = 50 + -140 Combine like terms: 50 + -140 = -90 -26x = -90 Divide each side by '-26'. x = 3.461538462 Simplifying x = 3.461538462
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