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Simplifying 6x + -3(-4x + -17) = -75 Reorder the terms: 6x + -3(-17 + -4x) = -75 6x + (-17 * -3 + -4x * -3) = -75 6x + (51 + 12x) = -75 Reorder the terms: 51 + 6x + 12x = -75 Combine like terms: 6x + 12x = 18x 51 + 18x = -75 Solving 51 + 18x = -75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 18x = -75 + -51 Combine like terms: 51 + -51 = 0 0 + 18x = -75 + -51 18x = -75 + -51 Combine like terms: -75 + -51 = -126 18x = -126 Divide each side by '18'. x = -7 Simplifying x = -7
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