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Simplifying 5x + 6 = 9 + -1(7x + -4) Reorder the terms: 6 + 5x = 9 + -1(7x + -4) Reorder the terms: 6 + 5x = 9 + -1(-4 + 7x) 6 + 5x = 9 + (-4 * -1 + 7x * -1) 6 + 5x = 9 + (4 + -7x) Combine like terms: 9 + 4 = 13 6 + 5x = 13 + -7x Solving 6 + 5x = 13 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 6 + 5x + 7x = 13 + -7x + 7x Combine like terms: 5x + 7x = 12x 6 + 12x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 12x = 13 + 0 6 + 12x = 13 Add '-6' to each side of the equation. 6 + -6 + 12x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 13 + -6 12x = 13 + -6 Combine like terms: 13 + -6 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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