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Simplifying 0.6 * 600 + 0.2x = 0.3(600 + x) Multiply 0.6 * 600 360 + 0.2x = 0.3(600 + x) 360 + 0.2x = (600 * 0.3 + x * 0.3) 360 + 0.2x = (180 + 0.3x) Solving 360 + 0.2x = 180 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 360 + 0.2x + -0.3x = 180 + 0.3x + -0.3x Combine like terms: 0.2x + -0.3x = -0.1x 360 + -0.1x = 180 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 360 + -0.1x = 180 + 0.0 360 + -0.1x = 180 Add '-360' to each side of the equation. 360 + -360 + -0.1x = 180 + -360 Combine like terms: 360 + -360 = 0 0 + -0.1x = 180 + -360 -0.1x = 180 + -360 Combine like terms: 180 + -360 = -180 -0.1x = -180 Divide each side by '-0.1'. x = 1800 Simplifying x = 1800
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