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Simplifying 3x + 42 = 12x + -12 Reorder the terms: 42 + 3x = 12x + -12 Reorder the terms: 42 + 3x = -12 + 12x Solving 42 + 3x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 42 + 3x + -12x = -12 + 12x + -12x Combine like terms: 3x + -12x = -9x 42 + -9x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + -9x = -12 + 0 42 + -9x = -12 Add '-42' to each side of the equation. 42 + -42 + -9x = -12 + -42 Combine like terms: 42 + -42 = 0 0 + -9x = -12 + -42 -9x = -12 + -42 Combine like terms: -12 + -42 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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