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Simplifying 8(7x + 4) = 32 + -8x Reorder the terms: 8(4 + 7x) = 32 + -8x (4 * 8 + 7x * 8) = 32 + -8x (32 + 56x) = 32 + -8x Add '-32' to each side of the equation. 32 + -32 + 56x = 32 + -32 + -8x Combine like terms: 32 + -32 = 0 0 + 56x = 32 + -32 + -8x 56x = 32 + -32 + -8x Combine like terms: 32 + -32 = 0 56x = 0 + -8x 56x = -8x Solving 56x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 56x + 8x = -8x + 8x Combine like terms: 56x + 8x = 64x 64x = -8x + 8x Combine like terms: -8x + 8x = 0 64x = 0 Divide each side by '64'. x = 0 Simplifying x = 0
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