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Simplifying x + -8 = 61 + -12(x + 9) Reorder the terms: -8 + x = 61 + -12(x + 9) Reorder the terms: -8 + x = 61 + -12(9 + x) -8 + x = 61 + (9 * -12 + x * -12) -8 + x = 61 + (-108 + -12x) Combine like terms: 61 + -108 = -47 -8 + x = -47 + -12x Solving -8 + x = -47 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -8 + x + 12x = -47 + -12x + 12x Combine like terms: x + 12x = 13x -8 + 13x = -47 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 13x = -47 + 0 -8 + 13x = -47 Add '8' to each side of the equation. -8 + 8 + 13x = -47 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = -47 + 8 13x = -47 + 8 Combine like terms: -47 + 8 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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