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Simplifying 7(3x + 5) = -1(x + -9) Reorder the terms: 7(5 + 3x) = -1(x + -9) (5 * 7 + 3x * 7) = -1(x + -9) (35 + 21x) = -1(x + -9) Reorder the terms: 35 + 21x = -1(-9 + x) 35 + 21x = (-9 * -1 + x * -1) 35 + 21x = (9 + -1x) Solving 35 + 21x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 35 + 21x + x = 9 + -1x + x Combine like terms: 21x + x = 22x 35 + 22x = 9 + -1x + x Combine like terms: -1x + x = 0 35 + 22x = 9 + 0 35 + 22x = 9 Add '-35' to each side of the equation. 35 + -35 + 22x = 9 + -35 Combine like terms: 35 + -35 = 0 0 + 22x = 9 + -35 22x = 9 + -35 Combine like terms: 9 + -35 = -26 22x = -26 Divide each side by '22'. x = -1.181818182 Simplifying x = -1.181818182
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