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Simplifying 2x + -2 = 5x + -6x + 12 Reorder the terms: -2 + 2x = 5x + -6x + 12 Reorder the terms: -2 + 2x = 12 + 5x + -6x Combine like terms: 5x + -6x = -1x -2 + 2x = 12 + -1x Solving -2 + 2x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 2x + x = 12 + -1x + x Combine like terms: 2x + x = 3x -2 + 3x = 12 + -1x + x Combine like terms: -1x + x = 0 -2 + 3x = 12 + 0 -2 + 3x = 12 Add '2' to each side of the equation. -2 + 2 + 3x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 12 + 2 3x = 12 + 2 Combine like terms: 12 + 2 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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