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Simplifying 3x + -9x + 2 = x + -2 + 4 Reorder the terms: 2 + 3x + -9x = x + -2 + 4 Combine like terms: 3x + -9x = -6x 2 + -6x = x + -2 + 4 Reorder the terms: 2 + -6x = -2 + 4 + x Combine like terms: -2 + 4 = 2 2 + -6x = 2 + x Add '-2' to each side of the equation. 2 + -2 + -6x = 2 + -2 + x Combine like terms: 2 + -2 = 0 0 + -6x = 2 + -2 + x -6x = 2 + -2 + x Combine like terms: 2 + -2 = 0 -6x = 0 + x -6x = x Solving -6x = 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. -6x + -1x = x + -1x Combine like terms: -6x + -1x = -7x -7x = x + -1x Combine like terms: x + -1x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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