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Simplifying 4 + 3x + -6 = 3x + -12 + -1x Reorder the terms: 4 + -6 + 3x = 3x + -12 + -1x Combine like terms: 4 + -6 = -2 -2 + 3x = 3x + -12 + -1x Reorder the terms: -2 + 3x = -12 + 3x + -1x Combine like terms: 3x + -1x = 2x -2 + 3x = -12 + 2x Solving -2 + 3x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 3x + -2x = -12 + 2x + -2x Combine like terms: 3x + -2x = 1x -2 + 1x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 1x = -12 + 0 -2 + 1x = -12 Add '2' to each side of the equation. -2 + 2 + 1x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -12 + 2 1x = -12 + 2 Combine like terms: -12 + 2 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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