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Simplifying 4x + -9x + 2 = 7x + -3x + -9 Reorder the terms: 2 + 4x + -9x = 7x + -3x + -9 Combine like terms: 4x + -9x = -5x 2 + -5x = 7x + -3x + -9 Reorder the terms: 2 + -5x = -9 + 7x + -3x Combine like terms: 7x + -3x = 4x 2 + -5x = -9 + 4x Solving 2 + -5x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -5x + -4x = -9 + 4x + -4x Combine like terms: -5x + -4x = -9x 2 + -9x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -9x = -9 + 0 2 + -9x = -9 Add '-2' to each side of the equation. 2 + -2 + -9x = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = -9 + -2 -9x = -9 + -2 Combine like terms: -9 + -2 = -11 -9x = -11 Divide each side by '-9'. x = 1.222222222 Simplifying x = 1.222222222
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