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Simplifying -5.1x + -6.5 = 1.5x + 0.1 Reorder the terms: -6.5 + -5.1x = 1.5x + 0.1 Reorder the terms: -6.5 + -5.1x = 0.1 + 1.5x Solving -6.5 + -5.1x = 0.1 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -6.5 + -5.1x + -1.5x = 0.1 + 1.5x + -1.5x Combine like terms: -5.1x + -1.5x = -6.6x -6.5 + -6.6x = 0.1 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -6.5 + -6.6x = 0.1 + 0.0 -6.5 + -6.6x = 0.1 Add '6.5' to each side of the equation. -6.5 + 6.5 + -6.6x = 0.1 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + -6.6x = 0.1 + 6.5 -6.6x = 0.1 + 6.5 Combine like terms: 0.1 + 6.5 = 6.6 -6.6x = 6.6 Divide each side by '-6.6'. x = -1 Simplifying x = -1
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