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Simplifying 10x + 14 = 3(3x + 7) Reorder the terms: 14 + 10x = 3(3x + 7) Reorder the terms: 14 + 10x = 3(7 + 3x) 14 + 10x = (7 * 3 + 3x * 3) 14 + 10x = (21 + 9x) Solving 14 + 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. 14 + 10x + -9x = 21 + 9x + -9x Combine like terms: 10x + -9x = 1x 14 + 1x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + 1x = 21 + 0 14 + 1x = 21 Add '-14' to each side of the equation. 14 + -14 + 1x = 21 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 21 + -14 1x = 21 + -14 Combine like terms: 21 + -14 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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