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Simplifying (7x + 6) = (5x + 3) + (3x + -9) Reorder the terms: (6 + 7x) = (5x + 3) + (3x + -9) Remove parenthesis around (6 + 7x) 6 + 7x = (5x + 3) + (3x + -9) Reorder the terms: 6 + 7x = (3 + 5x) + (3x + -9) Remove parenthesis around (3 + 5x) 6 + 7x = 3 + 5x + (3x + -9) Reorder the terms: 6 + 7x = 3 + 5x + (-9 + 3x) Remove parenthesis around (-9 + 3x) 6 + 7x = 3 + 5x + -9 + 3x Reorder the terms: 6 + 7x = 3 + -9 + 5x + 3x Combine like terms: 3 + -9 = -6 6 + 7x = -6 + 5x + 3x Combine like terms: 5x + 3x = 8x 6 + 7x = -6 + 8x Solving 6 + 7x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 7x + -8x = -6 + 8x + -8x Combine like terms: 7x + -8x = -1x 6 + -1x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -1x = -6 + 0 6 + -1x = -6 Add '-6' to each side of the equation. 6 + -6 + -1x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -6 + -6 -1x = -6 + -6 Combine like terms: -6 + -6 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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