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Simplifying x + 2x + 3x + -2 = 7x + -6 Reorder the terms: -2 + x + 2x + 3x = 7x + -6 Combine like terms: x + 2x = 3x -2 + 3x + 3x = 7x + -6 Combine like terms: 3x + 3x = 6x -2 + 6x = 7x + -6 Reorder the terms: -2 + 6x = -6 + 7x Solving -2 + 6x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 6x + -7x = -6 + 7x + -7x Combine like terms: 6x + -7x = -1x -2 + -1x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -1x = -6 + 0 -2 + -1x = -6 Add '2' to each side of the equation. -2 + 2 + -1x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -6 + 2 -1x = -6 + 2 Combine like terms: -6 + 2 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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