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Simplifying 5(2x + 1) = x + 30 Reorder the terms: 5(1 + 2x) = x + 30 (1 * 5 + 2x * 5) = x + 30 (5 + 10x) = x + 30 Reorder the terms: 5 + 10x = 30 + x Solving 5 + 10x = 30 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 10x + -1x = 30 + x + -1x Combine like terms: 10x + -1x = 9x 5 + 9x = 30 + x + -1x Combine like terms: x + -1x = 0 5 + 9x = 30 + 0 5 + 9x = 30 Add '-5' to each side of the equation. 5 + -5 + 9x = 30 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 30 + -5 9x = 30 + -5 Combine like terms: 30 + -5 = 25 9x = 25 Divide each side by '9'. x = 2.777777778 Simplifying x = 2.777777778
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