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Simplifying 5(8 + -1x) = 1.3(6 + -1x) (8 * 5 + -1x * 5) = 1.3(6 + -1x) (40 + -5x) = 1.3(6 + -1x) 40 + -5x = (6 * 1.3 + -1x * 1.3) 40 + -5x = (7.8 + -1.3x) Solving 40 + -5x = 7.8 + -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. 40 + -5x + 1.3x = 7.8 + -1.3x + 1.3x Combine like terms: -5x + 1.3x = -3.7x 40 + -3.7x = 7.8 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 40 + -3.7x = 7.8 + 0.0 40 + -3.7x = 7.8 Add '-40' to each side of the equation. 40 + -40 + -3.7x = 7.8 + -40 Combine like terms: 40 + -40 = 0 0 + -3.7x = 7.8 + -40 -3.7x = 7.8 + -40 Combine like terms: 7.8 + -40 = -32.2 -3.7x = -32.2 Divide each side by '-3.7'. x = 8.702702703 Simplifying x = 8.702702703
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