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