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Simplifying 3x + 22 = 2x + 16 Reorder the terms: 22 + 3x = 2x + 16 Reorder the terms: 22 + 3x = 16 + 2x Solving 22 + 3x = 16 + 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. 22 + 3x + -2x = 16 + 2x + -2x Combine like terms: 3x + -2x = 1x 22 + 1x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 22 + 1x = 16 + 0 22 + 1x = 16 Add '-22' to each side of the equation. 22 + -22 + 1x = 16 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 16 + -22 1x = 16 + -22 Combine like terms: 16 + -22 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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