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Simplifying x + 33 = 5x + 1 Reorder the terms: 33 + x = 5x + 1 Reorder the terms: 33 + x = 1 + 5x Solving 33 + x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 33 + x + -5x = 1 + 5x + -5x Combine like terms: x + -5x = -4x 33 + -4x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + -4x = 1 + 0 33 + -4x = 1 Add '-33' to each side of the equation. 33 + -33 + -4x = 1 + -33 Combine like terms: 33 + -33 = 0 0 + -4x = 1 + -33 -4x = 1 + -33 Combine like terms: 1 + -33 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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