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Simplifying 10x + 9 = 3(3x + 7) Reorder the terms: 9 + 10x = 3(3x + 7) Reorder the terms: 9 + 10x = 3(7 + 3x) 9 + 10x = (7 * 3 + 3x * 3) 9 + 10x = (21 + 9x) Solving 9 + 10x = 21 + 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. 9 + 10x + -9x = 21 + 9x + -9x Combine like terms: 10x + -9x = 1x 9 + 1x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + 1x = 21 + 0 9 + 1x = 21 Add '-9' to each side of the equation. 9 + -9 + 1x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 21 + -9 1x = 21 + -9 Combine like terms: 21 + -9 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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