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Simplifying 35 + 0.1x = 24 + 1.5x Solving 35 + 0.1x = 24 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 35 + 0.1x + -1.5x = 24 + 1.5x + -1.5x Combine like terms: 0.1x + -1.5x = -1.4x 35 + -1.4x = 24 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 35 + -1.4x = 24 + 0.0 35 + -1.4x = 24 Add '-35' to each side of the equation. 35 + -35 + -1.4x = 24 + -35 Combine like terms: 35 + -35 = 0 0 + -1.4x = 24 + -35 -1.4x = 24 + -35 Combine like terms: 24 + -35 = -11 -1.4x = -11 Divide each side by '-1.4'. x = 7.857142857 Simplifying x = 7.857142857
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