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Simplifying 8 + -7x + -2 = -17 + 5x + -13 Reorder the terms: 8 + -2 + -7x = -17 + 5x + -13 Combine like terms: 8 + -2 = 6 6 + -7x = -17 + 5x + -13 Reorder the terms: 6 + -7x = -17 + -13 + 5x Combine like terms: -17 + -13 = -30 6 + -7x = -30 + 5x Solving 6 + -7x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -7x + -5x = -30 + 5x + -5x Combine like terms: -7x + -5x = -12x 6 + -12x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -12x = -30 + 0 6 + -12x = -30 Add '-6' to each side of the equation. 6 + -6 + -12x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -30 + -6 -12x = -30 + -6 Combine like terms: -30 + -6 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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