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Simplifying 1.5x + 4 = 0.5x + 5 Reorder the terms: 4 + 1.5x = 0.5x + 5 Reorder the terms: 4 + 1.5x = 5 + 0.5x Solving 4 + 1.5x = 5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 4 + 1.5x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 1.5x + -0.5x = 1x 4 + 1x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 4 + 1x = 5 + 0.0 4 + 1x = 5 Add '-4' to each side of the equation. 4 + -4 + 1x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 5 + -4 1x = 5 + -4 Combine like terms: 5 + -4 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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