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Simplifying 8x + 33 = 2x + 45 Reorder the terms: 33 + 8x = 2x + 45 Reorder the terms: 33 + 8x = 45 + 2x Solving 33 + 8x = 45 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 33 + 8x + -2x = 45 + 2x + -2x Combine like terms: 8x + -2x = 6x 33 + 6x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 33 + 6x = 45 + 0 33 + 6x = 45 Add '-33' to each side of the equation. 33 + -33 + 6x = 45 + -33 Combine like terms: 33 + -33 = 0 0 + 6x = 45 + -33 6x = 45 + -33 Combine like terms: 45 + -33 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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