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Simplifying 8(1 + 2x) = 40 + 8x (1 * 8 + 2x * 8) = 40 + 8x (8 + 16x) = 40 + 8x Solving 8 + 16x = 40 + 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. 8 + 16x + -8x = 40 + 8x + -8x Combine like terms: 16x + -8x = 8x 8 + 8x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 8x = 40 + 0 8 + 8x = 40 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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