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Simplifying -5x + -1.5 + 8 = 2.5 + -1x Reorder the terms: -1.5 + 8 + -5x = 2.5 + -1x Combine like terms: -1.5 + 8 = 6.5 6.5 + -5x = 2.5 + -1x Solving 6.5 + -5x = 2.5 + -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. 6.5 + -5x + x = 2.5 + -1x + x Combine like terms: -5x + x = -4x 6.5 + -4x = 2.5 + -1x + x Combine like terms: -1x + x = 0 6.5 + -4x = 2.5 + 0 6.5 + -4x = 2.5 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -4x = 2.5 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -4x = 2.5 + -6.5 -4x = 2.5 + -6.5 Combine like terms: 2.5 + -6.5 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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