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Simplifying -6x + 7 = 2x + 71 Reorder the terms: 7 + -6x = 2x + 71 Reorder the terms: 7 + -6x = 71 + 2x Solving 7 + -6x = 71 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -6x + -2x = 71 + 2x + -2x Combine like terms: -6x + -2x = -8x 7 + -8x = 71 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -8x = 71 + 0 7 + -8x = 71 Add '-7' to each side of the equation. 7 + -7 + -8x = 71 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 71 + -7 -8x = 71 + -7 Combine like terms: 71 + -7 = 64 -8x = 64 Divide each side by '-8'. x = -8 Simplifying x = -8
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