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Simplifying 1.5x + 1 = -1x + 6 Reorder the terms: 1 + 1.5x = -1x + 6 Reorder the terms: 1 + 1.5x = 6 + -1x Solving 1 + 1.5x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 1.5x + x = 6 + -1x + x Combine like terms: 1.5x + x = 2.5x 1 + 2.5x = 6 + -1x + x Combine like terms: -1x + x = 0 1 + 2.5x = 6 + 0 1 + 2.5x = 6 Add '-1' to each side of the equation. 1 + -1 + 2.5x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 2.5x = 6 + -1 2.5x = 6 + -1 Combine like terms: 6 + -1 = 5 2.5x = 5 Divide each side by '2.5'. x = 2 Simplifying x = 2
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