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Simplifying 409 = 3(5x + 6) + 8x Reorder the terms: 409 = 3(6 + 5x) + 8x 409 = (6 * 3 + 5x * 3) + 8x 409 = (18 + 15x) + 8x Combine like terms: 15x + 8x = 23x 409 = 18 + 23x Solving 409 = 18 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 409 + -23x = 18 + 23x + -23x Combine like terms: 23x + -23x = 0 409 + -23x = 18 + 0 409 + -23x = 18 Add '-409' to each side of the equation. 409 + -409 + -23x = 18 + -409 Combine like terms: 409 + -409 = 0 0 + -23x = 18 + -409 -23x = 18 + -409 Combine like terms: 18 + -409 = -391 -23x = -391 Divide each side by '-23'. x = 17 Simplifying x = 17
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