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Simplifying 12x + 13 + 3(3x + -7) = 2(9x + 7) Reorder the terms: 12x + 13 + 3(-7 + 3x) = 2(9x + 7) 12x + 13 + (-7 * 3 + 3x * 3) = 2(9x + 7) 12x + 13 + (-21 + 9x) = 2(9x + 7) Reorder the terms: 13 + -21 + 12x + 9x = 2(9x + 7) Combine like terms: 13 + -21 = -8 -8 + 12x + 9x = 2(9x + 7) Combine like terms: 12x + 9x = 21x -8 + 21x = 2(9x + 7) Reorder the terms: -8 + 21x = 2(7 + 9x) -8 + 21x = (7 * 2 + 9x * 2) -8 + 21x = (14 + 18x) Solving -8 + 21x = 14 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -8 + 21x + -18x = 14 + 18x + -18x Combine like terms: 21x + -18x = 3x -8 + 3x = 14 + 18x + -18x Combine like terms: 18x + -18x = 0 -8 + 3x = 14 + 0 -8 + 3x = 14 Add '8' to each side of the equation. -8 + 8 + 3x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 14 + 8 3x = 14 + 8 Combine like terms: 14 + 8 = 22 3x = 22 Divide each side by '3'. x = 7.333333333 Simplifying x = 7.333333333
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