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Simplifying 2x + 5 + -9x = 3x + x + -6 Reorder the terms: 5 + 2x + -9x = 3x + x + -6 Combine like terms: 2x + -9x = -7x 5 + -7x = 3x + x + -6 Reorder the terms: 5 + -7x = -6 + 3x + x Combine like terms: 3x + x = 4x 5 + -7x = -6 + 4x Solving 5 + -7x = -6 + 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. 5 + -7x + -4x = -6 + 4x + -4x Combine like terms: -7x + -4x = -11x 5 + -11x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -11x = -6 + 0 5 + -11x = -6 Add '-5' to each side of the equation. 5 + -5 + -11x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = -6 + -5 -11x = -6 + -5 Combine like terms: -6 + -5 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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