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Simplifying 4x + 18 = 2x + 42 Reorder the terms: 18 + 4x = 2x + 42 Reorder the terms: 18 + 4x = 42 + 2x Solving 18 + 4x = 42 + 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. 18 + 4x + -2x = 42 + 2x + -2x Combine like terms: 4x + -2x = 2x 18 + 2x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 2x = 42 + 0 18 + 2x = 42 Add '-18' to each side of the equation. 18 + -18 + 2x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 42 + -18 2x = 42 + -18 Combine like terms: 42 + -18 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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