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Simplifying 45 + 6x + 22 = 75 + 4x Reorder the terms: 45 + 22 + 6x = 75 + 4x Combine like terms: 45 + 22 = 67 67 + 6x = 75 + 4x Solving 67 + 6x = 75 + 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. 67 + 6x + -4x = 75 + 4x + -4x Combine like terms: 6x + -4x = 2x 67 + 2x = 75 + 4x + -4x Combine like terms: 4x + -4x = 0 67 + 2x = 75 + 0 67 + 2x = 75 Add '-67' to each side of the equation. 67 + -67 + 2x = 75 + -67 Combine like terms: 67 + -67 = 0 0 + 2x = 75 + -67 2x = 75 + -67 Combine like terms: 75 + -67 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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