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Simplifying 3x + -1(x + -8) = 5x + -6(2 + -1x) Reorder the terms: 3x + -1(-8 + x) = 5x + -6(2 + -1x) 3x + (-8 * -1 + x * -1) = 5x + -6(2 + -1x) 3x + (8 + -1x) = 5x + -6(2 + -1x) Reorder the terms: 8 + 3x + -1x = 5x + -6(2 + -1x) Combine like terms: 3x + -1x = 2x 8 + 2x = 5x + -6(2 + -1x) 8 + 2x = 5x + (2 * -6 + -1x * -6) 8 + 2x = 5x + (-12 + 6x) Reorder the terms: 8 + 2x = -12 + 5x + 6x Combine like terms: 5x + 6x = 11x 8 + 2x = -12 + 11x Solving 8 + 2x = -12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 8 + 2x + -11x = -12 + 11x + -11x Combine like terms: 2x + -11x = -9x 8 + -9x = -12 + 11x + -11x Combine like terms: 11x + -11x = 0 8 + -9x = -12 + 0 8 + -9x = -12 Add '-8' to each side of the equation. 8 + -8 + -9x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = -12 + -8 -9x = -12 + -8 Combine like terms: -12 + -8 = -20 -9x = -20 Divide each side by '-9'. x = 2.222222222 Simplifying x = 2.222222222
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