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Simplifying 4(8x + 6) = 24 + -4x Reorder the terms: 4(6 + 8x) = 24 + -4x (6 * 4 + 8x * 4) = 24 + -4x (24 + 32x) = 24 + -4x Add '-24' to each side of the equation. 24 + -24 + 32x = 24 + -24 + -4x Combine like terms: 24 + -24 = 0 0 + 32x = 24 + -24 + -4x 32x = 24 + -24 + -4x Combine like terms: 24 + -24 = 0 32x = 0 + -4x 32x = -4x Solving 32x = -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. 32x + 4x = -4x + 4x Combine like terms: 32x + 4x = 36x 36x = -4x + 4x Combine like terms: -4x + 4x = 0 36x = 0 Divide each side by '36'. x = 0 Simplifying x = 0
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