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Simplifying 77 = x + -7(x + 1) Reorder the terms: 77 = x + -7(1 + x) 77 = x + (1 * -7 + x * -7) 77 = x + (-7 + -7x) Reorder the terms: 77 = -7 + x + -7x Combine like terms: x + -7x = -6x 77 = -7 + -6x Solving 77 = -7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 77 + 6x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 77 + 6x = -7 + 0 77 + 6x = -7 Add '-77' to each side of the equation. 77 + -77 + 6x = -7 + -77 Combine like terms: 77 + -77 = 0 0 + 6x = -7 + -77 6x = -7 + -77 Combine like terms: -7 + -77 = -84 6x = -84 Divide each side by '6'. x = -14 Simplifying x = -14
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