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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 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444
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