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Simplifying 5x + 18 + 2x = 3x + 42 Reorder the terms: 18 + 5x + 2x = 3x + 42 Combine like terms: 5x + 2x = 7x 18 + 7x = 3x + 42 Reorder the terms: 18 + 7x = 42 + 3x Solving 18 + 7x = 42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + 7x + -3x = 42 + 3x + -3x Combine like terms: 7x + -3x = 4x 18 + 4x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 4x = 42 + 0 18 + 4x = 42 Add '-18' to each side of the equation. 18 + -18 + 4x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 42 + -18 4x = 42 + -18 Combine like terms: 42 + -18 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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