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Simplifying 12x + -4 + -1(8x + 3) + (7x + 2) = 68 Reorder the terms: 12x + -4 + -1(3 + 8x) + (7x + 2) = 68 12x + -4 + (3 * -1 + 8x * -1) + (7x + 2) = 68 12x + -4 + (-3 + -8x) + (7x + 2) = 68 Reorder the terms: 12x + -4 + -3 + -8x + (2 + 7x) = 68 Remove parenthesis around (2 + 7x) 12x + -4 + -3 + -8x + 2 + 7x = 68 Reorder the terms: -4 + -3 + 2 + 12x + -8x + 7x = 68 Combine like terms: -4 + -3 = -7 -7 + 2 + 12x + -8x + 7x = 68 Combine like terms: -7 + 2 = -5 -5 + 12x + -8x + 7x = 68 Combine like terms: 12x + -8x = 4x -5 + 4x + 7x = 68 Combine like terms: 4x + 7x = 11x -5 + 11x = 68 Solving -5 + 11x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 11x = 68 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = 68 + 5 11x = 68 + 5 Combine like terms: 68 + 5 = 73 11x = 73 Divide each side by '11'. x = 6.636363636 Simplifying x = 6.636363636
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