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Simplifying (7x + 6) + (4x + 14) = 12x + 11 Reorder the terms: (6 + 7x) + (4x + 14) = 12x + 11 Remove parenthesis around (6 + 7x) 6 + 7x + (4x + 14) = 12x + 11 Reorder the terms: 6 + 7x + (14 + 4x) = 12x + 11 Remove parenthesis around (14 + 4x) 6 + 7x + 14 + 4x = 12x + 11 Reorder the terms: 6 + 14 + 7x + 4x = 12x + 11 Combine like terms: 6 + 14 = 20 20 + 7x + 4x = 12x + 11 Combine like terms: 7x + 4x = 11x 20 + 11x = 12x + 11 Reorder the terms: 20 + 11x = 11 + 12x Solving 20 + 11x = 11 + 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. 20 + 11x + -12x = 11 + 12x + -12x Combine like terms: 11x + -12x = -1x 20 + -1x = 11 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -1x = 11 + 0 20 + -1x = 11 Add '-20' to each side of the equation. 20 + -20 + -1x = 11 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 11 + -20 -1x = 11 + -20 Combine like terms: 11 + -20 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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