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Simplifying 8(5 + 8x) + -8(7x + 4) = 40 (5 * 8 + 8x * 8) + -8(7x + 4) = 40 (40 + 64x) + -8(7x + 4) = 40 Reorder the terms: 40 + 64x + -8(4 + 7x) = 40 40 + 64x + (4 * -8 + 7x * -8) = 40 40 + 64x + (-32 + -56x) = 40 Reorder the terms: 40 + -32 + 64x + -56x = 40 Combine like terms: 40 + -32 = 8 8 + 64x + -56x = 40 Combine like terms: 64x + -56x = 8x 8 + 8x = 40 Solving 8 + 8x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 40 + -8 8x = 40 + -8 Combine like terms: 40 + -8 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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