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Simplifying (12x + 6) + 8(3x + -7) = 0 Reorder the terms: (6 + 12x) + 8(3x + -7) = 0 Remove parenthesis around (6 + 12x) 6 + 12x + 8(3x + -7) = 0 Reorder the terms: 6 + 12x + 8(-7 + 3x) = 0 6 + 12x + (-7 * 8 + 3x * 8) = 0 6 + 12x + (-56 + 24x) = 0 Reorder the terms: 6 + -56 + 12x + 24x = 0 Combine like terms: 6 + -56 = -50 -50 + 12x + 24x = 0 Combine like terms: 12x + 24x = 36x -50 + 36x = 0 Solving -50 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 36x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 36x = 0 + 50 36x = 0 + 50 Combine like terms: 0 + 50 = 50 36x = 50 Divide each side by '36'. x = 1.388888889 Simplifying x = 1.388888889
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