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Simplifying 3(7x + 10) = -26(x + -5) Reorder the terms: 3(10 + 7x) = -26(x + -5) (10 * 3 + 7x * 3) = -26(x + -5) (30 + 21x) = -26(x + -5) Reorder the terms: 30 + 21x = -26(-5 + x) 30 + 21x = (-5 * -26 + x * -26) 30 + 21x = (130 + -26x) Solving 30 + 21x = 130 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. 30 + 21x + 26x = 130 + -26x + 26x Combine like terms: 21x + 26x = 47x 30 + 47x = 130 + -26x + 26x Combine like terms: -26x + 26x = 0 30 + 47x = 130 + 0 30 + 47x = 130 Add '-30' to each side of the equation. 30 + -30 + 47x = 130 + -30 Combine like terms: 30 + -30 = 0 0 + 47x = 130 + -30 47x = 130 + -30 Combine like terms: 130 + -30 = 100 47x = 100 Divide each side by '47'. x = 2.127659574 Simplifying x = 2.127659574
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