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Simplifying 7 + -1(x + -6) = -5(9x + 7) Reorder the terms: 7 + -1(-6 + x) = -5(9x + 7) 7 + (-6 * -1 + x * -1) = -5(9x + 7) 7 + (6 + -1x) = -5(9x + 7) Combine like terms: 7 + 6 = 13 13 + -1x = -5(9x + 7) Reorder the terms: 13 + -1x = -5(7 + 9x) 13 + -1x = (7 * -5 + 9x * -5) 13 + -1x = (-35 + -45x) Solving 13 + -1x = -35 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 13 + -1x + 45x = -35 + -45x + 45x Combine like terms: -1x + 45x = 44x 13 + 44x = -35 + -45x + 45x Combine like terms: -45x + 45x = 0 13 + 44x = -35 + 0 13 + 44x = -35 Add '-13' to each side of the equation. 13 + -13 + 44x = -35 + -13 Combine like terms: 13 + -13 = 0 0 + 44x = -35 + -13 44x = -35 + -13 Combine like terms: -35 + -13 = -48 44x = -48 Divide each side by '44'. x = -1.090909091 Simplifying x = -1.090909091
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