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Simplifying 6(3x + 18) + 5(x + 20) = 300 Reorder the terms: 6(18 + 3x) + 5(x + 20) = 300 (18 * 6 + 3x * 6) + 5(x + 20) = 300 (108 + 18x) + 5(x + 20) = 300 Reorder the terms: 108 + 18x + 5(20 + x) = 300 108 + 18x + (20 * 5 + x * 5) = 300 108 + 18x + (100 + 5x) = 300 Reorder the terms: 108 + 100 + 18x + 5x = 300 Combine like terms: 108 + 100 = 208 208 + 18x + 5x = 300 Combine like terms: 18x + 5x = 23x 208 + 23x = 300 Solving 208 + 23x = 300 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-208' to each side of the equation. 208 + -208 + 23x = 300 + -208 Combine like terms: 208 + -208 = 0 0 + 23x = 300 + -208 23x = 300 + -208 Combine like terms: 300 + -208 = 92 23x = 92 Divide each side by '23'. x = 4 Simplifying x = 4
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