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Simplifying -3x + 8 = 6 + -1(6x + 2) Reorder the terms: 8 + -3x = 6 + -1(6x + 2) Reorder the terms: 8 + -3x = 6 + -1(2 + 6x) 8 + -3x = 6 + (2 * -1 + 6x * -1) 8 + -3x = 6 + (-2 + -6x) Combine like terms: 6 + -2 = 4 8 + -3x = 4 + -6x Solving 8 + -3x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -3x + 6x = 4 + -6x + 6x Combine like terms: -3x + 6x = 3x 8 + 3x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 3x = 4 + 0 8 + 3x = 4 Add '-8' to each side of the equation. 8 + -8 + 3x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 4 + -8 3x = 4 + -8 Combine like terms: 4 + -8 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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