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