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Simplifying 2x + 45 = 8x + 33 Reorder the terms: 45 + 2x = 8x + 33 Reorder the terms: 45 + 2x = 33 + 8x Solving 45 + 2x = 33 + 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. 45 + 2x + -8x = 33 + 8x + -8x Combine like terms: 2x + -8x = -6x 45 + -6x = 33 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + -6x = 33 + 0 45 + -6x = 33 Add '-45' to each side of the equation. 45 + -45 + -6x = 33 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = 33 + -45 -6x = 33 + -45 Combine like terms: 33 + -45 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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