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Simplifying 5(x + 6) = 74x Reorder the terms: 5(6 + x) = 74x (6 * 5 + x * 5) = 74x (30 + 5x) = 74x Solving 30 + 5x = 74x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74x' to each side of the equation. 30 + 5x + -74x = 74x + -74x Combine like terms: 5x + -74x = -69x 30 + -69x = 74x + -74x Combine like terms: 74x + -74x = 0 30 + -69x = 0 Add '-30' to each side of the equation. 30 + -30 + -69x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -69x = 0 + -30 -69x = 0 + -30 Combine like terms: 0 + -30 = -30 -69x = -30 Divide each side by '-69'. x = 0.4347826087 Simplifying x = 0.4347826087
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