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Simplifying 6(3x + 5) + 5(x + 25) = 9 Reorder the terms: 6(5 + 3x) + 5(x + 25) = 9 (5 * 6 + 3x * 6) + 5(x + 25) = 9 (30 + 18x) + 5(x + 25) = 9 Reorder the terms: 30 + 18x + 5(25 + x) = 9 30 + 18x + (25 * 5 + x * 5) = 9 30 + 18x + (125 + 5x) = 9 Reorder the terms: 30 + 125 + 18x + 5x = 9 Combine like terms: 30 + 125 = 155 155 + 18x + 5x = 9 Combine like terms: 18x + 5x = 23x 155 + 23x = 9 Solving 155 + 23x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-155' to each side of the equation. 155 + -155 + 23x = 9 + -155 Combine like terms: 155 + -155 = 0 0 + 23x = 9 + -155 23x = 9 + -155 Combine like terms: 9 + -155 = -146 23x = -146 Divide each side by '23'. x = -6.347826087 Simplifying x = -6.347826087
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