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Simplifying -2(4x + -4) + 8x = 6(x + 3) Reorder the terms: -2(-4 + 4x) + 8x = 6(x + 3) (-4 * -2 + 4x * -2) + 8x = 6(x + 3) (8 + -8x) + 8x = 6(x + 3) Combine like terms: -8x + 8x = 0 8 + 0 = 6(x + 3) 8 = 6(x + 3) Reorder the terms: 8 = 6(3 + x) 8 = (3 * 6 + x * 6) 8 = (18 + 6x) Solving 8 = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -6x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -6x = 18 + 0 8 + -6x = 18 Add '-8' to each side of the equation. 8 + -8 + -6x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 18 + -8 -6x = 18 + -8 Combine like terms: 18 + -8 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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