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Simplifying 1.25 + 0.45x = 0.35(5 + x) 1.25 + 0.45x = (5 * 0.35 + x * 0.35) 1.25 + 0.45x = (1.75 + 0.35x) Solving 1.25 + 0.45x = 1.75 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 1.25 + 0.45x + -0.35x = 1.75 + 0.35x + -0.35x Combine like terms: 0.45x + -0.35x = 0.1x 1.25 + 0.1x = 1.75 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 1.25 + 0.1x = 1.75 + 0.00 1.25 + 0.1x = 1.75 Add '-1.25' to each side of the equation. 1.25 + -1.25 + 0.1x = 1.75 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 0.1x = 1.75 + -1.25 0.1x = 1.75 + -1.25 Combine like terms: 1.75 + -1.25 = 0.5 0.1x = 0.5 Divide each side by '0.1'. x = 5 Simplifying x = 5
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