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Simplifying 12x + -6 = 3x + -42 Reorder the terms: -6 + 12x = 3x + -42 Reorder the terms: -6 + 12x = -42 + 3x Solving -6 + 12x = -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 + 12x + -3x = -42 + 3x + -3x Combine like terms: 12x + -3x = 9x -6 + 9x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 9x = -42 + 0 -6 + 9x = -42 Add '6' to each side of the equation. -6 + 6 + 9x = -42 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -42 + 6 9x = -42 + 6 Combine like terms: -42 + 6 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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