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Simplifying 0.75 + 1.5x = 0.46 + 0.4x + 0.5 Reorder the terms: 0.75 + 1.5x = 0.46 + 0.5 + 0.4x Combine like terms: 0.46 + 0.5 = 0.96 0.75 + 1.5x = 0.96 + 0.4x Solving 0.75 + 1.5x = 0.96 + 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. 0.75 + 1.5x + -0.4x = 0.96 + 0.4x + -0.4x Combine like terms: 1.5x + -0.4x = 1.1x 0.75 + 1.1x = 0.96 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.75 + 1.1x = 0.96 + 0.0 0.75 + 1.1x = 0.96 Add '-0.75' to each side of the equation. 0.75 + -0.75 + 1.1x = 0.96 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 1.1x = 0.96 + -0.75 1.1x = 0.96 + -0.75 Combine like terms: 0.96 + -0.75 = 0.21 1.1x = 0.21 Divide each side by '1.1'. x = 0.1909090909 Simplifying x = 0.1909090909
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