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Simplifying 8(x + 5) = 4x + 52 Reorder the terms: 8(5 + x) = 4x + 52 (5 * 8 + x * 8) = 4x + 52 (40 + 8x) = 4x + 52 Reorder the terms: 40 + 8x = 52 + 4x Solving 40 + 8x = 52 + 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 = 52 + 4x + -4x Combine like terms: 8x + -4x = 4x 40 + 4x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + 4x = 52 + 0 40 + 4x = 52 Add '-40' to each side of the equation. 40 + -40 + 4x = 52 + -40 Combine like terms: 40 + -40 = 0 0 + 4x = 52 + -40 4x = 52 + -40 Combine like terms: 52 + -40 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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