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Simplifying -0.1x + 6.79 = -0.5x + 3.59 Reorder the terms: 6.79 + -0.1x = -0.5x + 3.59 Reorder the terms: 6.79 + -0.1x = 3.59 + -0.5x Solving 6.79 + -0.1x = 3.59 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 6.79 + -0.1x + 0.5x = 3.59 + -0.5x + 0.5x Combine like terms: -0.1x + 0.5x = 0.4x 6.79 + 0.4x = 3.59 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 6.79 + 0.4x = 3.59 + 0.0 6.79 + 0.4x = 3.59 Add '-6.79' to each side of the equation. 6.79 + -6.79 + 0.4x = 3.59 + -6.79 Combine like terms: 6.79 + -6.79 = 0.00 0.00 + 0.4x = 3.59 + -6.79 0.4x = 3.59 + -6.79 Combine like terms: 3.59 + -6.79 = -3.2 0.4x = -3.2 Divide each side by '0.4'. x = -8 Simplifying x = -8
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