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Simplifying 3x + -6(-2x + -12) = 177 Reorder the terms: 3x + -6(-12 + -2x) = 177 3x + (-12 * -6 + -2x * -6) = 177 3x + (72 + 12x) = 177 Reorder the terms: 72 + 3x + 12x = 177 Combine like terms: 3x + 12x = 15x 72 + 15x = 177 Solving 72 + 15x = 177 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 15x = 177 + -72 Combine like terms: 72 + -72 = 0 0 + 15x = 177 + -72 15x = 177 + -72 Combine like terms: 177 + -72 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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