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Simplifying 0.35(2x + 100) = x Reorder the terms: 0.35(100 + 2x) = x (100 * 0.35 + 2x * 0.35) = x (35 + 0.7x) = x Solving 35 + 0.7x = 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. 35 + 0.7x + -1x = x + -1x Combine like terms: 0.7x + -1x = -0.3x 35 + -0.3x = x + -1x Combine like terms: x + -1x = 0 35 + -0.3x = 0 Add '-35' to each side of the equation. 35 + -35 + -0.3x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -0.3x = 0 + -35 -0.3x = 0 + -35 Combine like terms: 0 + -35 = -35 -0.3x = -35 Divide each side by '-0.3'. x = 116.6666667 Simplifying x = 116.6666667
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