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Simplifying 40x + 18(x + -3) = 468 Reorder the terms: 40x + 18(-3 + x) = 468 40x + (-3 * 18 + x * 18) = 468 40x + (-54 + 18x) = 468 Reorder the terms: -54 + 40x + 18x = 468 Combine like terms: 40x + 18x = 58x -54 + 58x = 468 Solving -54 + 58x = 468 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 58x = 468 + 54 Combine like terms: -54 + 54 = 0 0 + 58x = 468 + 54 58x = 468 + 54 Combine like terms: 468 + 54 = 522 58x = 522 Divide each side by '58'. x = 9 Simplifying x = 9
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