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Simplifying 6(x + -7) + 8 = 0 Reorder the terms: 6(-7 + x) + 8 = 0 (-7 * 6 + x * 6) + 8 = 0 (-42 + 6x) + 8 = 0 Reorder the terms: -42 + 8 + 6x = 0 Combine like terms: -42 + 8 = -34 -34 + 6x = 0 Solving -34 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 6x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 6x = 0 + 34 6x = 0 + 34 Combine like terms: 0 + 34 = 34 6x = 34 Divide each side by '6'. x = 5.666666667 Simplifying x = 5.666666667
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