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Simplifying x + -4(2x + -6 + x) + -1(x + -8) = 0 Reorder the terms: x + -4(-6 + 2x + x) + -1(x + -8) = 0 Combine like terms: 2x + x = 3x x + -4(-6 + 3x) + -1(x + -8) = 0 x + (-6 * -4 + 3x * -4) + -1(x + -8) = 0 x + (24 + -12x) + -1(x + -8) = 0 Reorder the terms: x + 24 + -12x + -1(-8 + x) = 0 x + 24 + -12x + (-8 * -1 + x * -1) = 0 x + 24 + -12x + (8 + -1x) = 0 Reorder the terms: 24 + 8 + x + -12x + -1x = 0 Combine like terms: 24 + 8 = 32 32 + x + -12x + -1x = 0 Combine like terms: x + -12x = -11x 32 + -11x + -1x = 0 Combine like terms: -11x + -1x = -12x 32 + -12x = 0 Solving 32 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -12x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = 0 + -32 -12x = 0 + -32 Combine like terms: 0 + -32 = -32 -12x = -32 Divide each side by '-12'. x = 2.666666667 Simplifying x = 2.666666667
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