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Simplifying 6.5(4 + -0.8x) = 18.2 + 7.8x (4 * 6.5 + -0.8x * 6.5) = 18.2 + 7.8x (26 + -5.2x) = 18.2 + 7.8x Solving 26 + -5.2x = 18.2 + 7.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.8x' to each side of the equation. 26 + -5.2x + -7.8x = 18.2 + 7.8x + -7.8x Combine like terms: -5.2x + -7.8x = -13x 26 + -13x = 18.2 + 7.8x + -7.8x Combine like terms: 7.8x + -7.8x = 0.0 26 + -13x = 18.2 + 0.0 26 + -13x = 18.2 Add '-26' to each side of the equation. 26 + -26 + -13x = 18.2 + -26 Combine like terms: 26 + -26 = 0 0 + -13x = 18.2 + -26 -13x = 18.2 + -26 Combine like terms: 18.2 + -26 = -7.8 -13x = -7.8 Divide each side by '-13'. x = 0.6 Simplifying x = 0.6
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