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Simplifying 7(3x + 9) = 6(2x + 31) Reorder the terms: 7(9 + 3x) = 6(2x + 31) (9 * 7 + 3x * 7) = 6(2x + 31) (63 + 21x) = 6(2x + 31) Reorder the terms: 63 + 21x = 6(31 + 2x) 63 + 21x = (31 * 6 + 2x * 6) 63 + 21x = (186 + 12x) Solving 63 + 21x = 186 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 63 + 21x + -12x = 186 + 12x + -12x Combine like terms: 21x + -12x = 9x 63 + 9x = 186 + 12x + -12x Combine like terms: 12x + -12x = 0 63 + 9x = 186 + 0 63 + 9x = 186 Add '-63' to each side of the equation. 63 + -63 + 9x = 186 + -63 Combine like terms: 63 + -63 = 0 0 + 9x = 186 + -63 9x = 186 + -63 Combine like terms: 186 + -63 = 123 9x = 123 Divide each side by '9'. x = 13.66666667 Simplifying x = 13.66666667
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