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Simplifying 10x + 9 = 3(3x + 4) Reorder the terms: 9 + 10x = 3(3x + 4) Reorder the terms: 9 + 10x = 3(4 + 3x) 9 + 10x = (4 * 3 + 3x * 3) 9 + 10x = (12 + 9x) Solving 9 + 10x = 12 + 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 = 12 + 9x + -9x Combine like terms: 10x + -9x = 1x 9 + 1x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + 1x = 12 + 0 9 + 1x = 12 Add '-9' to each side of the equation. 9 + -9 + 1x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 12 + -9 1x = 12 + -9 Combine like terms: 12 + -9 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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