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Simplifying 3x + 18 = 5x + 22 Reorder the terms: 18 + 3x = 5x + 22 Reorder the terms: 18 + 3x = 22 + 5x Solving 18 + 3x = 22 + 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. 18 + 3x + -5x = 22 + 5x + -5x Combine like terms: 3x + -5x = -2x 18 + -2x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -2x = 22 + 0 18 + -2x = 22 Add '-18' to each side of the equation. 18 + -18 + -2x = 22 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 22 + -18 -2x = 22 + -18 Combine like terms: 22 + -18 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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