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Simplifying 3x + -5 + -7x + 2 = 3 + -2x + 9 Reorder the terms: -5 + 2 + 3x + -7x = 3 + -2x + 9 Combine like terms: -5 + 2 = -3 -3 + 3x + -7x = 3 + -2x + 9 Combine like terms: 3x + -7x = -4x -3 + -4x = 3 + -2x + 9 Reorder the terms: -3 + -4x = 3 + 9 + -2x Combine like terms: 3 + 9 = 12 -3 + -4x = 12 + -2x Solving -3 + -4x = 12 + -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. -3 + -4x + 2x = 12 + -2x + 2x Combine like terms: -4x + 2x = -2x -3 + -2x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + -2x = 12 + 0 -3 + -2x = 12 Add '3' to each side of the equation. -3 + 3 + -2x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 12 + 3 -2x = 12 + 3 Combine like terms: 12 + 3 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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