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Simplifying 3x + -2x + -12 = 4x + 2 Reorder the terms: -12 + 3x + -2x = 4x + 2 Combine like terms: 3x + -2x = 1x -12 + 1x = 4x + 2 Reorder the terms: -12 + 1x = 2 + 4x Solving -12 + 1x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 1x + -4x = 2 + 4x + -4x Combine like terms: 1x + -4x = -3x -12 + -3x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -3x = 2 + 0 -12 + -3x = 2 Add '12' to each side of the equation. -12 + 12 + -3x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 2 + 12 -3x = 2 + 12 Combine like terms: 2 + 12 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667
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