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Simplifying 2x + 6 = 4 + -1(9x + -5) Reorder the terms: 6 + 2x = 4 + -1(9x + -5) Reorder the terms: 6 + 2x = 4 + -1(-5 + 9x) 6 + 2x = 4 + (-5 * -1 + 9x * -1) 6 + 2x = 4 + (5 + -9x) Combine like terms: 4 + 5 = 9 6 + 2x = 9 + -9x Solving 6 + 2x = 9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 6 + 2x + 9x = 9 + -9x + 9x Combine like terms: 2x + 9x = 11x 6 + 11x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 11x = 9 + 0 6 + 11x = 9 Add '-6' to each side of the equation. 6 + -6 + 11x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = 9 + -6 11x = 9 + -6 Combine like terms: 9 + -6 = 3 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727
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