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Simplifying 1.5x + 1 = x + 4.5 Reorder the terms: 1 + 1.5x = x + 4.5 Reorder the terms: 1 + 1.5x = 4.5 + x Solving 1 + 1.5x = 4.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 1.5x + -1x = 4.5 + x + -1x Combine like terms: 1.5x + -1x = 0.5x 1 + 0.5x = 4.5 + x + -1x Combine like terms: x + -1x = 0 1 + 0.5x = 4.5 + 0 1 + 0.5x = 4.5 Add '-1' to each side of the equation. 1 + -1 + 0.5x = 4.5 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5x = 4.5 + -1 0.5x = 4.5 + -1 Combine like terms: 4.5 + -1 = 3.5 0.5x = 3.5 Divide each side by '0.5'. x = 7 Simplifying x = 7
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