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Simplifying 8x + 52 = 4x + 100 Reorder the terms: 52 + 8x = 4x + 100 Reorder the terms: 52 + 8x = 100 + 4x Solving 52 + 8x = 100 + 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. 52 + 8x + -4x = 100 + 4x + -4x Combine like terms: 8x + -4x = 4x 52 + 4x = 100 + 4x + -4x Combine like terms: 4x + -4x = 0 52 + 4x = 100 + 0 52 + 4x = 100 Add '-52' to each side of the equation. 52 + -52 + 4x = 100 + -52 Combine like terms: 52 + -52 = 0 0 + 4x = 100 + -52 4x = 100 + -52 Combine like terms: 100 + -52 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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