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Simplifying 1.5 + 0.45x = 0.35(5 + x) 1.5 + 0.45x = (5 * 0.35 + x * 0.35) 1.5 + 0.45x = (1.75 + 0.35x) Solving 1.5 + 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. 1.5 + 0.45x + -0.35x = 1.75 + 0.35x + -0.35x Combine like terms: 0.45x + -0.35x = 0.1x 1.5 + 0.1x = 1.75 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 1.5 + 0.1x = 1.75 + 0.00 1.5 + 0.1x = 1.75 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.1x = 1.75 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.1x = 1.75 + -1.5 0.1x = 1.75 + -1.5 Combine like terms: 1.75 + -1.5 = 0.25 0.1x = 0.25 Divide each side by '0.1'. x = 2.5 Simplifying x = 2.5
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