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Simplifying 0.3x + 180 = 0.4x + 120 Reorder the terms: 180 + 0.3x = 0.4x + 120 Reorder the terms: 180 + 0.3x = 120 + 0.4x Solving 180 + 0.3x = 120 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 180 + 0.3x + -0.4x = 120 + 0.4x + -0.4x Combine like terms: 0.3x + -0.4x = -0.1x 180 + -0.1x = 120 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 180 + -0.1x = 120 + 0.0 180 + -0.1x = 120 Add '-180' to each side of the equation. 180 + -180 + -0.1x = 120 + -180 Combine like terms: 180 + -180 = 0 0 + -0.1x = 120 + -180 -0.1x = 120 + -180 Combine like terms: 120 + -180 = -60 -0.1x = -60 Divide each side by '-0.1'. x = 600 Simplifying x = 600
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