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Simplifying 3x + 12 = 42 + -2x Reorder the terms: 12 + 3x = 42 + -2x Solving 12 + 3x = 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. 12 + 3x + 2x = 42 + -2x + 2x Combine like terms: 3x + 2x = 5x 12 + 5x = 42 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 5x = 42 + 0 12 + 5x = 42 Add '-12' to each side of the equation. 12 + -12 + 5x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 42 + -12 5x = 42 + -12 Combine like terms: 42 + -12 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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