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Simplifying 2x + -7(-3x + -12) = -77 Reorder the terms: 2x + -7(-12 + -3x) = -77 2x + (-12 * -7 + -3x * -7) = -77 2x + (84 + 21x) = -77 Reorder the terms: 84 + 2x + 21x = -77 Combine like terms: 2x + 21x = 23x 84 + 23x = -77 Solving 84 + 23x = -77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 23x = -77 + -84 Combine like terms: 84 + -84 = 0 0 + 23x = -77 + -84 23x = -77 + -84 Combine like terms: -77 + -84 = -161 23x = -161 Divide each side by '23'. x = -7 Simplifying x = -7
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