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Simplifying -6.7x + 1.5 = -8.5 + -1.7x Reorder the terms: 1.5 + -6.7x = -8.5 + -1.7x Solving 1.5 + -6.7x = -8.5 + -1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.7x' to each side of the equation. 1.5 + -6.7x + 1.7x = -8.5 + -1.7x + 1.7x Combine like terms: -6.7x + 1.7x = -5x 1.5 + -5x = -8.5 + -1.7x + 1.7x Combine like terms: -1.7x + 1.7x = 0.0 1.5 + -5x = -8.5 + 0.0 1.5 + -5x = -8.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -5x = -8.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -5x = -8.5 + -1.5 -5x = -8.5 + -1.5 Combine like terms: -8.5 + -1.5 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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