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Simplifying x + -2 = 3x + 7 Reorder the terms: -2 + x = 3x + 7 Reorder the terms: -2 + x = 7 + 3x Solving -2 + x = 7 + 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. -2 + x + -3x = 7 + 3x + -3x Combine like terms: x + -3x = -2x -2 + -2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -2x = 7 + 0 -2 + -2x = 7 Add '2' to each side of the equation. -2 + 2 + -2x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 7 + 2 -2x = 7 + 2 Combine like terms: 7 + 2 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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