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Simplifying 6x + -1(2x + 4) = x + 8 Reorder the terms: 6x + -1(4 + 2x) = x + 8 6x + (4 * -1 + 2x * -1) = x + 8 6x + (-4 + -2x) = x + 8 Reorder the terms: -4 + 6x + -2x = x + 8 Combine like terms: 6x + -2x = 4x -4 + 4x = x + 8 Reorder the terms: -4 + 4x = 8 + x Solving -4 + 4x = 8 + x 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. -4 + 4x + -1x = 8 + x + -1x Combine like terms: 4x + -1x = 3x -4 + 3x = 8 + x + -1x Combine like terms: x + -1x = 0 -4 + 3x = 8 + 0 -4 + 3x = 8 Add '4' to each side of the equation. -4 + 4 + 3x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 8 + 4 3x = 8 + 4 Combine like terms: 8 + 4 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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