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Simplifying 1.5x + -1 = 2x + 8 + 3x Reorder the terms: -1 + 1.5x = 2x + 8 + 3x Reorder the terms: -1 + 1.5x = 8 + 2x + 3x Combine like terms: 2x + 3x = 5x -1 + 1.5x = 8 + 5x Solving -1 + 1.5x = 8 + 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. -1 + 1.5x + -5x = 8 + 5x + -5x Combine like terms: 1.5x + -5x = -3.5x -1 + -3.5x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -3.5x = 8 + 0 -1 + -3.5x = 8 Add '1' to each side of the equation. -1 + 1 + -3.5x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -3.5x = 8 + 1 -3.5x = 8 + 1 Combine like terms: 8 + 1 = 9 -3.5x = 9 Divide each side by '-3.5'. x = -2.571428571 Simplifying x = -2.571428571
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