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Simplifying 5x + 6 = 3x + 42 Reorder the terms: 6 + 5x = 3x + 42 Reorder the terms: 6 + 5x = 42 + 3x Solving 6 + 5x = 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. 6 + 5x + -3x = 42 + 3x + -3x Combine like terms: 5x + -3x = 2x 6 + 2x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 2x = 42 + 0 6 + 2x = 42 Add '-6' to each side of the equation. 6 + -6 + 2x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 42 + -6 2x = 42 + -6 Combine like terms: 42 + -6 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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