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