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Simplifying 6x + -1(x + -1(x + 5)) = 3x + 2 Reorder the terms: 6x + -1(x + -1(5 + x)) = 3x + 2 6x + -1(x + (5 * -1 + x * -1)) = 3x + 2 6x + -1(x + (-5 + -1x)) = 3x + 2 Reorder the terms: 6x + -1(-5 + x + -1x) = 3x + 2 Combine like terms: x + -1x = 0 6x + -1(-5 + 0) = 3x + 2 6x + -1(-5) = 3x + 2 Multiply -1 * -5 6x + 5 = 3x + 2 Reorder the terms: 5 + 6x = 3x + 2 Reorder the terms: 5 + 6x = 2 + 3x Solving 5 + 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. 5 + 6x + -3x = 2 + 3x + -3x Combine like terms: 6x + -3x = 3x 5 + 3x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 3x = 2 + 0 5 + 3x = 2 Add '-5' to each side of the equation. 5 + -5 + 3x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 2 + -5 3x = 2 + -5 Combine like terms: 2 + -5 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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