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Simplifying (12x + 3x + 2) + -1(12x + 5) = 6x + 11 Reorder the terms: (2 + 12x + 3x) + -1(12x + 5) = 6x + 11 Combine like terms: 12x + 3x = 15x (2 + 15x) + -1(12x + 5) = 6x + 11 Remove parenthesis around (2 + 15x) 2 + 15x + -1(12x + 5) = 6x + 11 Reorder the terms: 2 + 15x + -1(5 + 12x) = 6x + 11 2 + 15x + (5 * -1 + 12x * -1) = 6x + 11 2 + 15x + (-5 + -12x) = 6x + 11 Reorder the terms: 2 + -5 + 15x + -12x = 6x + 11 Combine like terms: 2 + -5 = -3 -3 + 15x + -12x = 6x + 11 Combine like terms: 15x + -12x = 3x -3 + 3x = 6x + 11 Reorder the terms: -3 + 3x = 11 + 6x Solving -3 + 3x = 11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 3x + -6x = 11 + 6x + -6x Combine like terms: 3x + -6x = -3x -3 + -3x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -3x = 11 + 0 -3 + -3x = 11 Add '3' to each side of the equation. -3 + 3 + -3x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 11 + 3 -3x = 11 + 3 Combine like terms: 11 + 3 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667
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