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Simplifying (8x + 40) = (12x + 20) Reorder the terms: (40 + 8x) = (12x + 20) Remove parenthesis around (40 + 8x) 40 + 8x = (12x + 20) Reorder the terms: 40 + 8x = (20 + 12x) Remove parenthesis around (20 + 12x) 40 + 8x = 20 + 12x Solving 40 + 8x = 20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + 8x + -12x = 20 + 12x + -12x Combine like terms: 8x + -12x = -4x 40 + -4x = 20 + 12x + -12x Combine like terms: 12x + -12x = 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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