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Simplifying 5(2x + 9) = 30x + x Reorder the terms: 5(9 + 2x) = 30x + x (9 * 5 + 2x * 5) = 30x + x (45 + 10x) = 30x + x Combine like terms: 30x + x = 31x 45 + 10x = 31x Solving 45 + 10x = 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 45 + 10x + -31x = 31x + -31x Combine like terms: 10x + -31x = -21x 45 + -21x = 31x + -31x Combine like terms: 31x + -31x = 0 45 + -21x = 0 Add '-45' to each side of the equation. 45 + -45 + -21x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -21x = 0 + -45 -21x = 0 + -45 Combine like terms: 0 + -45 = -45 -21x = -45 Divide each side by '-21'. x = 2.142857143 Simplifying x = 2.142857143
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