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