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Simplifying 8(x + 5) = 4(x + 8) Reorder the terms: 8(5 + x) = 4(x + 8) (5 * 8 + x * 8) = 4(x + 8) (40 + 8x) = 4(x + 8) Reorder the terms: 40 + 8x = 4(8 + x) 40 + 8x = (8 * 4 + x * 4) 40 + 8x = (32 + 4x) Solving 40 + 8x = 32 + 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. 40 + 8x + -4x = 32 + 4x + -4x Combine like terms: 8x + -4x = 4x 40 + 4x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + 4x = 32 + 0 40 + 4x = 32 Add '-40' to each side of the equation. 40 + -40 + 4x = 32 + -40 Combine like terms: 40 + -40 = 0 0 + 4x = 32 + -40 4x = 32 + -40 Combine like terms: 32 + -40 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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