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Simplifying (6x + -1) + -7 = 10 + -2x + -2 Reorder the terms: (-1 + 6x) + -7 = 10 + -2x + -2 Remove parenthesis around (-1 + 6x) -1 + 6x + -7 = 10 + -2x + -2 Reorder the terms: -1 + -7 + 6x = 10 + -2x + -2 Combine like terms: -1 + -7 = -8 -8 + 6x = 10 + -2x + -2 Reorder the terms: -8 + 6x = 10 + -2 + -2x Combine like terms: 10 + -2 = 8 -8 + 6x = 8 + -2x Solving -8 + 6x = 8 + -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. -8 + 6x + 2x = 8 + -2x + 2x Combine like terms: 6x + 2x = 8x -8 + 8x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 8x = 8 + 0 -8 + 8x = 8 Add '8' to each side of the equation. -8 + 8 + 8x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 8 + 8 8x = 8 + 8 Combine like terms: 8 + 8 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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