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Simplifying -3(6x + 8) + 6(2x + 2) = 34 Reorder the terms: -3(8 + 6x) + 6(2x + 2) = 34 (8 * -3 + 6x * -3) + 6(2x + 2) = 34 (-24 + -18x) + 6(2x + 2) = 34 Reorder the terms: -24 + -18x + 6(2 + 2x) = 34 -24 + -18x + (2 * 6 + 2x * 6) = 34 -24 + -18x + (12 + 12x) = 34 Reorder the terms: -24 + 12 + -18x + 12x = 34 Combine like terms: -24 + 12 = -12 -12 + -18x + 12x = 34 Combine like terms: -18x + 12x = -6x -12 + -6x = 34 Solving -12 + -6x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -6x = 34 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 34 + 12 -6x = 34 + 12 Combine like terms: 34 + 12 = 46 -6x = 46 Divide each side by '-6'. x = -7.666666667 Simplifying x = -7.666666667
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