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Simplifying 6 + -2(3x + -1) = 3(3 + -1x) + 5 Reorder the terms: 6 + -2(-1 + 3x) = 3(3 + -1x) + 5 6 + (-1 * -2 + 3x * -2) = 3(3 + -1x) + 5 6 + (2 + -6x) = 3(3 + -1x) + 5 Combine like terms: 6 + 2 = 8 8 + -6x = 3(3 + -1x) + 5 8 + -6x = (3 * 3 + -1x * 3) + 5 8 + -6x = (9 + -3x) + 5 Reorder the terms: 8 + -6x = 9 + 5 + -3x Combine like terms: 9 + 5 = 14 8 + -6x = 14 + -3x Solving 8 + -6x = 14 + -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. 8 + -6x + 3x = 14 + -3x + 3x Combine like terms: -6x + 3x = -3x 8 + -3x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + -3x = 14 + 0 8 + -3x = 14 Add '-8' to each side of the equation. 8 + -8 + -3x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 14 + -8 -3x = 14 + -8 Combine like terms: 14 + -8 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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