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Simplifying 6x + 5 = 4x + 9(1 + -1x) Reorder the terms: 5 + 6x = 4x + 9(1 + -1x) 5 + 6x = 4x + (1 * 9 + -1x * 9) 5 + 6x = 4x + (9 + -9x) Reorder the terms: 5 + 6x = 9 + 4x + -9x Combine like terms: 4x + -9x = -5x 5 + 6x = 9 + -5x Solving 5 + 6x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + 6x + 5x = 9 + -5x + 5x Combine like terms: 6x + 5x = 11x 5 + 11x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 11x = 9 + 0 5 + 11x = 9 Add '-5' to each side of the equation. 5 + -5 + 11x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 9 + -5 11x = 9 + -5 Combine like terms: 9 + -5 = 4 11x = 4 Divide each side by '11'. x = 0.3636363636 Simplifying x = 0.3636363636
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