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Simplifying 6x + -3(6x + -7) = -75 Reorder the terms: 6x + -3(-7 + 6x) = -75 6x + (-7 * -3 + 6x * -3) = -75 6x + (21 + -18x) = -75 Reorder the terms: 21 + 6x + -18x = -75 Combine like terms: 6x + -18x = -12x 21 + -12x = -75 Solving 21 + -12x = -75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -12x = -75 + -21 Combine like terms: 21 + -21 = 0 0 + -12x = -75 + -21 -12x = -75 + -21 Combine like terms: -75 + -21 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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