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Simplifying 12x + -4(8x + 3) + (7x + -2) = 68 Reorder the terms: 12x + -4(3 + 8x) + (7x + -2) = 68 12x + (3 * -4 + 8x * -4) + (7x + -2) = 68 12x + (-12 + -32x) + (7x + -2) = 68 Reorder the terms: 12x + -12 + -32x + (-2 + 7x) = 68 Remove parenthesis around (-2 + 7x) 12x + -12 + -32x + -2 + 7x = 68 Reorder the terms: -12 + -2 + 12x + -32x + 7x = 68 Combine like terms: -12 + -2 = -14 -14 + 12x + -32x + 7x = 68 Combine like terms: 12x + -32x = -20x -14 + -20x + 7x = 68 Combine like terms: -20x + 7x = -13x -14 + -13x = 68 Solving -14 + -13x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -13x = 68 + 14 Combine like terms: -14 + 14 = 0 0 + -13x = 68 + 14 -13x = 68 + 14 Combine like terms: 68 + 14 = 82 -13x = 82 Divide each side by '-13'. x = -6.307692308 Simplifying x = -6.307692308
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