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Simplifying 5x + 12 = -79 + -8x Reorder the terms: 12 + 5x = -79 + -8x Solving 12 + 5x = -79 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + 5x + 8x = -79 + -8x + 8x Combine like terms: 5x + 8x = 13x 12 + 13x = -79 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 13x = -79 + 0 12 + 13x = -79 Add '-12' to each side of the equation. 12 + -12 + 13x = -79 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = -79 + -12 13x = -79 + -12 Combine like terms: -79 + -12 = -91 13x = -91 Divide each side by '13'. x = -7 Simplifying x = -7
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