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