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Simplifying 0.6(8.2 + -2x) = -0.6x (8.2 * 0.6 + -2x * 0.6) = -0.6x (4.92 + -1.2x) = -0.6x Solving 4.92 + -1.2x = -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 4.92 + -1.2x + 0.6x = -0.6x + 0.6x Combine like terms: -1.2x + 0.6x = -0.6x 4.92 + -0.6x = -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 4.92 + -0.6x = 0.0 Add '-4.92' to each side of the equation. 4.92 + -4.92 + -0.6x = 0.0 + -4.92 Combine like terms: 4.92 + -4.92 = 0.00 0.00 + -0.6x = 0.0 + -4.92 -0.6x = 0.0 + -4.92 Combine like terms: 0.0 + -4.92 = -4.92 -0.6x = -4.92 Divide each side by '-0.6'. x = 8.2 Simplifying x = 8.2
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