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Simplifying -4.5x + 6.5x + 1.5 = -12.5 Reorder the terms: 1.5 + -4.5x + 6.5x = -12.5 Combine like terms: -4.5x + 6.5x = 2x 1.5 + 2x = -12.5 Solving 1.5 + 2x = -12.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 2x = -12.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 2x = -12.5 + -1.5 2x = -12.5 + -1.5 Combine like terms: -12.5 + -1.5 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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