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Simplifying 8x + (6 + -2x) + -1(2x + -2) + 2x = 1 Remove parenthesis around (6 + -2x) 8x + 6 + -2x + -1(2x + -2) + 2x = 1 Reorder the terms: 8x + 6 + -2x + -1(-2 + 2x) + 2x = 1 8x + 6 + -2x + (-2 * -1 + 2x * -1) + 2x = 1 8x + 6 + -2x + (2 + -2x) + 2x = 1 Reorder the terms: 6 + 2 + 8x + -2x + -2x + 2x = 1 Combine like terms: 6 + 2 = 8 8 + 8x + -2x + -2x + 2x = 1 Combine like terms: 8x + -2x = 6x 8 + 6x + -2x + 2x = 1 Combine like terms: 6x + -2x = 4x 8 + 4x + 2x = 1 Combine like terms: 4x + 2x = 6x 8 + 6x = 1 Solving 8 + 6x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 1 + -8 6x = 1 + -8 Combine like terms: 1 + -8 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667
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