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Simplifying 0.65(60) + 0.8x = 0.7(60 + x) Multiply 0.65 * 60 39 + 0.8x = 0.7(60 + x) 39 + 0.8x = (60 * 0.7 + x * 0.7) 39 + 0.8x = (42 + 0.7x) Solving 39 + 0.8x = 42 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 39 + 0.8x + -0.7x = 42 + 0.7x + -0.7x Combine like terms: 0.8x + -0.7x = 0.1x 39 + 0.1x = 42 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 39 + 0.1x = 42 + 0.0 39 + 0.1x = 42 Add '-39' to each side of the equation. 39 + -39 + 0.1x = 42 + -39 Combine like terms: 39 + -39 = 0 0 + 0.1x = 42 + -39 0.1x = 42 + -39 Combine like terms: 42 + -39 = 3 0.1x = 3 Divide each side by '0.1'. x = 30 Simplifying x = 30
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