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Simplifying 9x + 4 = 6 + -1(4x + -9) Reorder the terms: 4 + 9x = 6 + -1(4x + -9) Reorder the terms: 4 + 9x = 6 + -1(-9 + 4x) 4 + 9x = 6 + (-9 * -1 + 4x * -1) 4 + 9x = 6 + (9 + -4x) Combine like terms: 6 + 9 = 15 4 + 9x = 15 + -4x Solving 4 + 9x = 15 + -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. 4 + 9x + 4x = 15 + -4x + 4x Combine like terms: 9x + 4x = 13x 4 + 13x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 13x = 15 + 0 4 + 13x = 15 Add '-4' to each side of the equation. 4 + -4 + 13x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 15 + -4 13x = 15 + -4 Combine like terms: 15 + -4 = 11 13x = 11 Divide each side by '13'. x = 0.8461538462 Simplifying x = 0.8461538462
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