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Simplifying 3x + -12 = x + 4 + -2 Reorder the terms: -12 + 3x = x + 4 + -2 Reorder the terms: -12 + 3x = 4 + -2 + x Combine like terms: 4 + -2 = 2 -12 + 3x = 2 + x Solving -12 + 3x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 3x + -1x = 2 + x + -1x Combine like terms: 3x + -1x = 2x -12 + 2x = 2 + x + -1x Combine like terms: x + -1x = 0 -12 + 2x = 2 + 0 -12 + 2x = 2 Add '12' to each side of the equation. -12 + 12 + 2x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 2 + 12 2x = 2 + 12 Combine like terms: 2 + 12 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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