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