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Simplifying -77 = -7x + -2(3x + 6) Reorder the terms: -77 = -7x + -2(6 + 3x) -77 = -7x + (6 * -2 + 3x * -2) -77 = -7x + (-12 + -6x) Reorder the terms: -77 = -12 + -7x + -6x Combine like terms: -7x + -6x = -13x -77 = -12 + -13x Solving -77 = -12 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -77 + 13x = -12 + -13x + 13x Combine like terms: -13x + 13x = 0 -77 + 13x = -12 + 0 -77 + 13x = -12 Add '77' to each side of the equation. -77 + 77 + 13x = -12 + 77 Combine like terms: -77 + 77 = 0 0 + 13x = -12 + 77 13x = -12 + 77 Combine like terms: -12 + 77 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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