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Simplifying 9x + 4 = 7 + -1(5x + -6) Reorder the terms: 4 + 9x = 7 + -1(5x + -6) Reorder the terms: 4 + 9x = 7 + -1(-6 + 5x) 4 + 9x = 7 + (-6 * -1 + 5x * -1) 4 + 9x = 7 + (6 + -5x) Combine like terms: 7 + 6 = 13 4 + 9x = 13 + -5x Solving 4 + 9x = 13 + -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. 4 + 9x + 5x = 13 + -5x + 5x Combine like terms: 9x + 5x = 14x 4 + 14x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 14x = 13 + 0 4 + 14x = 13 Add '-4' to each side of the equation. 4 + -4 + 14x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 13 + -4 14x = 13 + -4 Combine like terms: 13 + -4 = 9 14x = 9 Divide each side by '14'. x = 0.6428571429 Simplifying x = 0.6428571429
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