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Simplifying 6 + -1(x + -2) = 5x + -1(4x + -8) Reorder the terms: 6 + -1(-2 + x) = 5x + -1(4x + -8) 6 + (-2 * -1 + x * -1) = 5x + -1(4x + -8) 6 + (2 + -1x) = 5x + -1(4x + -8) Combine like terms: 6 + 2 = 8 8 + -1x = 5x + -1(4x + -8) Reorder the terms: 8 + -1x = 5x + -1(-8 + 4x) 8 + -1x = 5x + (-8 * -1 + 4x * -1) 8 + -1x = 5x + (8 + -4x) Reorder the terms: 8 + -1x = 8 + 5x + -4x Combine like terms: 5x + -4x = 1x 8 + -1x = 8 + 1x Add '-8' to each side of the equation. 8 + -8 + -1x = 8 + -8 + 1x Combine like terms: 8 + -8 = 0 0 + -1x = 8 + -8 + 1x -1x = 8 + -8 + 1x Combine like terms: 8 + -8 = 0 -1x = 0 + 1x -1x = 1x Solving -1x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1x + -1x = 1x + -1x Combine like terms: -1x + -1x = -2x -2x = 1x + -1x Combine like terms: 1x + -1x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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