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Simplifying 8(x + 5) = 4(x + 5) Reorder the terms: 8(5 + x) = 4(x + 5) (5 * 8 + x * 8) = 4(x + 5) (40 + 8x) = 4(x + 5) Reorder the terms: 40 + 8x = 4(5 + x) 40 + 8x = (5 * 4 + x * 4) 40 + 8x = (20 + 4x) Solving 40 + 8x = 20 + 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 = 20 + 4x + -4x Combine like terms: 8x + -4x = 4x 40 + 4x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + 4x = 20 + 0 40 + 4x = 20 Add '-40' to each side of the equation. 40 + -40 + 4x = 20 + -40 Combine like terms: 40 + -40 = 0 0 + 4x = 20 + -40 4x = 20 + -40 Combine like terms: 20 + -40 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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