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Simplifying 7x + 6 = 4 + -1(2x + -9) Reorder the terms: 6 + 7x = 4 + -1(2x + -9) Reorder the terms: 6 + 7x = 4 + -1(-9 + 2x) 6 + 7x = 4 + (-9 * -1 + 2x * -1) 6 + 7x = 4 + (9 + -2x) Combine like terms: 4 + 9 = 13 6 + 7x = 13 + -2x Solving 6 + 7x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 7x + 2x = 13 + -2x + 2x Combine like terms: 7x + 2x = 9x 6 + 9x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 9x = 13 + 0 6 + 9x = 13 Add '-6' to each side of the equation. 6 + -6 + 9x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 13 + -6 9x = 13 + -6 Combine like terms: 13 + -6 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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