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Simplifying 2x + -6 = 3x + 2 + -4 Reorder the terms: -6 + 2x = 3x + 2 + -4 Reorder the terms: -6 + 2x = 2 + -4 + 3x Combine like terms: 2 + -4 = -2 -6 + 2x = -2 + 3x Solving -6 + 2x = -2 + 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 + 2x + -3x = -2 + 3x + -3x Combine like terms: 2x + -3x = -1x -6 + -1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -1x = -2 + 0 -6 + -1x = -2 Add '6' to each side of the equation. -6 + 6 + -1x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -2 + 6 -1x = -2 + 6 Combine like terms: -2 + 6 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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