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Simplifying 5(6 + -1x) = 1.3(4 + -1x) (6 * 5 + -1x * 5) = 1.3(4 + -1x) (30 + -5x) = 1.3(4 + -1x) 30 + -5x = (4 * 1.3 + -1x * 1.3) 30 + -5x = (5.2 + -1.3x) Solving 30 + -5x = 5.2 + -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. 30 + -5x + 1.3x = 5.2 + -1.3x + 1.3x Combine like terms: -5x + 1.3x = -3.7x 30 + -3.7x = 5.2 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 30 + -3.7x = 5.2 + 0.0 30 + -3.7x = 5.2 Add '-30' to each side of the equation. 30 + -30 + -3.7x = 5.2 + -30 Combine like terms: 30 + -30 = 0 0 + -3.7x = 5.2 + -30 -3.7x = 5.2 + -30 Combine like terms: 5.2 + -30 = -24.8 -3.7x = -24.8 Divide each side by '-3.7'. x = 6.702702703 Simplifying x = 6.702702703
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