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Simplifying 0.5x + 3 = 0.4x + 15 Reorder the terms: 3 + 0.5x = 0.4x + 15 Reorder the terms: 3 + 0.5x = 15 + 0.4x Solving 3 + 0.5x = 15 + 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. 3 + 0.5x + -0.4x = 15 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x 3 + 0.1x = 15 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 3 + 0.1x = 15 + 0.0 3 + 0.1x = 15 Add '-3' to each side of the equation. 3 + -3 + 0.1x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 0.1x = 15 + -3 0.1x = 15 + -3 Combine like terms: 15 + -3 = 12 0.1x = 12 Divide each side by '0.1'. x = 120 Simplifying x = 120
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