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Simplifying 3x + -5 + 4x = 9 + -2x + 4 Reorder the terms: -5 + 3x + 4x = 9 + -2x + 4 Combine like terms: 3x + 4x = 7x -5 + 7x = 9 + -2x + 4 Reorder the terms: -5 + 7x = 9 + 4 + -2x Combine like terms: 9 + 4 = 13 -5 + 7x = 13 + -2x Solving -5 + 7x = 13 + -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. -5 + 7x + 2x = 13 + -2x + 2x Combine like terms: 7x + 2x = 9x -5 + 9x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 9x = 13 + 0 -5 + 9x = 13 Add '5' to each side of the equation. -5 + 5 + 9x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 13 + 5 9x = 13 + 5 Combine like terms: 13 + 5 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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