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Simplifying 1.5x + 8.5 = -1x + 4 Reorder the terms: 8.5 + 1.5x = -1x + 4 Reorder the terms: 8.5 + 1.5x = 4 + -1x Solving 8.5 + 1.5x = 4 + -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. 8.5 + 1.5x + x = 4 + -1x + x Combine like terms: 1.5x + x = 2.5x 8.5 + 2.5x = 4 + -1x + x Combine like terms: -1x + x = 0 8.5 + 2.5x = 4 + 0 8.5 + 2.5x = 4 Add '-8.5' to each side of the equation. 8.5 + -8.5 + 2.5x = 4 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + 2.5x = 4 + -8.5 2.5x = 4 + -8.5 Combine like terms: 4 + -8.5 = -4.5 2.5x = -4.5 Divide each side by '2.5'. x = -1.8 Simplifying x = -1.8
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