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Simplifying 2(5x + 1) = 9(x + 1) Reorder the terms: 2(1 + 5x) = 9(x + 1) (1 * 2 + 5x * 2) = 9(x + 1) (2 + 10x) = 9(x + 1) Reorder the terms: 2 + 10x = 9(1 + x) 2 + 10x = (1 * 9 + x * 9) 2 + 10x = (9 + 9x) Solving 2 + 10x = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 10x + -9x = 9 + 9x + -9x Combine like terms: 10x + -9x = 1x 2 + 1x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + 1x = 9 + 0 2 + 1x = 9 Add '-2' to each side of the equation. 2 + -2 + 1x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 9 + -2 1x = 9 + -2 Combine like terms: 9 + -2 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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