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Simplifying 6(7 + -1x) + -8 = -3(x + -2) (7 * 6 + -1x * 6) + -8 = -3(x + -2) (42 + -6x) + -8 = -3(x + -2) Reorder the terms: 42 + -8 + -6x = -3(x + -2) Combine like terms: 42 + -8 = 34 34 + -6x = -3(x + -2) Reorder the terms: 34 + -6x = -3(-2 + x) 34 + -6x = (-2 * -3 + x * -3) 34 + -6x = (6 + -3x) Solving 34 + -6x = 6 + -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. 34 + -6x + 3x = 6 + -3x + 3x Combine like terms: -6x + 3x = -3x 34 + -3x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 34 + -3x = 6 + 0 34 + -3x = 6 Add '-34' to each side of the equation. 34 + -34 + -3x = 6 + -34 Combine like terms: 34 + -34 = 0 0 + -3x = 6 + -34 -3x = 6 + -34 Combine like terms: 6 + -34 = -28 -3x = -28 Divide each side by '-3'. x = 9.333333333 Simplifying x = 9.333333333
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