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Simplifying 0.6x + 0.10(60) = 0.5(x + 60) Multiply 0.10 * 60 0.6x + 6 = 0.5(x + 60) Reorder the terms: 6 + 0.6x = 0.5(x + 60) Reorder the terms: 6 + 0.6x = 0.5(60 + x) 6 + 0.6x = (60 * 0.5 + x * 0.5) 6 + 0.6x = (30 + 0.5x) Solving 6 + 0.6x = 30 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 6 + 0.6x + -0.5x = 30 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 6 + 0.1x = 30 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + 0.1x = 30 + 0.0 6 + 0.1x = 30 Add '-6' to each side of the equation. 6 + -6 + 0.1x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 0.1x = 30 + -6 0.1x = 30 + -6 Combine like terms: 30 + -6 = 24 0.1x = 24 Divide each side by '0.1'. x = 240 Simplifying x = 240
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