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Simplifying 1.5x + 3 = 0.4x + 8.5 Reorder the terms: 3 + 1.5x = 0.4x + 8.5 Reorder the terms: 3 + 1.5x = 8.5 + 0.4x Solving 3 + 1.5x = 8.5 + 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 + 1.5x + -0.4x = 8.5 + 0.4x + -0.4x Combine like terms: 1.5x + -0.4x = 1.1x 3 + 1.1x = 8.5 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 3 + 1.1x = 8.5 + 0.0 3 + 1.1x = 8.5 Add '-3' to each side of the equation. 3 + -3 + 1.1x = 8.5 + -3 Combine like terms: 3 + -3 = 0 0 + 1.1x = 8.5 + -3 1.1x = 8.5 + -3 Combine like terms: 8.5 + -3 = 5.5 1.1x = 5.5 Divide each side by '1.1'. x = 5 Simplifying x = 5
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