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Simplifying 1.5x + 1 + 3x + 2 = 5x Reorder the terms: 1 + 2 + 1.5x + 3x = 5x Combine like terms: 1 + 2 = 3 3 + 1.5x + 3x = 5x Combine like terms: 1.5x + 3x = 4.5x 3 + 4.5x = 5x Solving 3 + 4.5x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 4.5x + -5x = 5x + -5x Combine like terms: 4.5x + -5x = -0.5x 3 + -0.5x = 5x + -5x Combine like terms: 5x + -5x = 0 3 + -0.5x = 0 Add '-3' to each side of the equation. 3 + -3 + -0.5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5x = 0 + -3 -0.5x = 0 + -3 Combine like terms: 0 + -3 = -3 -0.5x = -3 Divide each side by '-0.5'. x = 6 Simplifying x = 6
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