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Simplifying 6(x + 4) = -2(7x + -4) + 8x Reorder the terms: 6(4 + x) = -2(7x + -4) + 8x (4 * 6 + x * 6) = -2(7x + -4) + 8x (24 + 6x) = -2(7x + -4) + 8x Reorder the terms: 24 + 6x = -2(-4 + 7x) + 8x 24 + 6x = (-4 * -2 + 7x * -2) + 8x 24 + 6x = (8 + -14x) + 8x Combine like terms: -14x + 8x = -6x 24 + 6x = 8 + -6x Solving 24 + 6x = 8 + -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. 24 + 6x + 6x = 8 + -6x + 6x Combine like terms: 6x + 6x = 12x 24 + 12x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + 12x = 8 + 0 24 + 12x = 8 Add '-24' to each side of the equation. 24 + -24 + 12x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = 8 + -24 12x = 8 + -24 Combine like terms: 8 + -24 = -16 12x = -16 Divide each side by '12'. x = -1.333333333 Simplifying x = -1.333333333
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