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Simplifying 10x + 7 = 3(3x + 6) Reorder the terms: 7 + 10x = 3(3x + 6) Reorder the terms: 7 + 10x = 3(6 + 3x) 7 + 10x = (6 * 3 + 3x * 3) 7 + 10x = (18 + 9x) Solving 7 + 10x = 18 + 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. 7 + 10x + -9x = 18 + 9x + -9x Combine like terms: 10x + -9x = 1x 7 + 1x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + 1x = 18 + 0 7 + 1x = 18 Add '-7' to each side of the equation. 7 + -7 + 1x = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 18 + -7 1x = 18 + -7 Combine like terms: 18 + -7 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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