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Simplifying -6 + 4x + -2(2x + -8) = 1 + -1x Reorder the terms: -6 + 4x + -2(-8 + 2x) = 1 + -1x -6 + 4x + (-8 * -2 + 2x * -2) = 1 + -1x -6 + 4x + (16 + -4x) = 1 + -1x Reorder the terms: -6 + 16 + 4x + -4x = 1 + -1x Combine like terms: -6 + 16 = 10 10 + 4x + -4x = 1 + -1x Combine like terms: 4x + -4x = 0 10 + 0 = 1 + -1x 10 = 1 + -1x Solving 10 = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + x = 1 + -1x + x Combine like terms: -1x + x = 0 10 + x = 1 + 0 10 + x = 1 Add '-10' to each side of the equation. 10 + -10 + x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + x = 1 + -10 x = 1 + -10 Combine like terms: 1 + -10 = -9 x = -9 Simplifying x = -9
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