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