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Simplifying 4x + 52 = 8x + 17 Reorder the terms: 52 + 4x = 8x + 17 Reorder the terms: 52 + 4x = 17 + 8x Solving 52 + 4x = 17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 52 + 4x + -8x = 17 + 8x + -8x Combine like terms: 4x + -8x = -4x 52 + -4x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 52 + -4x = 17 + 0 52 + -4x = 17 Add '-52' to each side of the equation. 52 + -52 + -4x = 17 + -52 Combine like terms: 52 + -52 = 0 0 + -4x = 17 + -52 -4x = 17 + -52 Combine like terms: 17 + -52 = -35 -4x = -35 Divide each side by '-4'. x = 8.75 Simplifying x = 8.75
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