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Simplifying [-4 + -1(x + -6)] + -2x = 8 + -4x Reorder the terms: [-4 + -1(-6 + x)] + -2x = 8 + -4x [-4 + (-6 * -1 + x * -1)] + -2x = 8 + -4x [-4 + (6 + -1x)] + -2x = 8 + -4x Combine like terms: -4 + 6 = 2 [2 + -1x] + -2x = 8 + -4x Remove brackets around [2 + -1x] 2 + -1x + -2x = 8 + -4x Combine like terms: -1x + -2x = -3x 2 + -3x = 8 + -4x Solving 2 + -3x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + -3x + 4x = 8 + -4x + 4x Combine like terms: -3x + 4x = 1x 2 + 1x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 1x = 8 + 0 2 + 1x = 8 Add '-2' to each side of the equation. 2 + -2 + 1x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 8 + -2 1x = 8 + -2 Combine like terms: 8 + -2 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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