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Simplifying -6x + 8 = -122 + 7x Reorder the terms: 8 + -6x = -122 + 7x Solving 8 + -6x = -122 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + -6x + -7x = -122 + 7x + -7x Combine like terms: -6x + -7x = -13x 8 + -13x = -122 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -13x = -122 + 0 8 + -13x = -122 Add '-8' to each side of the equation. 8 + -8 + -13x = -122 + -8 Combine like terms: 8 + -8 = 0 0 + -13x = -122 + -8 -13x = -122 + -8 Combine like terms: -122 + -8 = -130 -13x = -130 Divide each side by '-13'. x = 10 Simplifying x = 10
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