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Simplifying 4(6 + 8x) = -7x + 24 (6 * 4 + 8x * 4) = -7x + 24 (24 + 32x) = -7x + 24 Reorder the terms: 24 + 32x = 24 + -7x Add '-24' to each side of the equation. 24 + -24 + 32x = 24 + -24 + -7x Combine like terms: 24 + -24 = 0 0 + 32x = 24 + -24 + -7x 32x = 24 + -24 + -7x Combine like terms: 24 + -24 = 0 32x = 0 + -7x 32x = -7x Solving 32x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 32x + 7x = -7x + 7x Combine like terms: 32x + 7x = 39x 39x = -7x + 7x Combine like terms: -7x + 7x = 0 39x = 0 Divide each side by '39'. x = 0 Simplifying x = 0
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