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Simplifying 30 + -3(3 + -7x) + 5(x + 1) = 40 + -2(7 + -3x) 30 + (3 * -3 + -7x * -3) + 5(x + 1) = 40 + -2(7 + -3x) 30 + (-9 + 21x) + 5(x + 1) = 40 + -2(7 + -3x) Reorder the terms: 30 + -9 + 21x + 5(1 + x) = 40 + -2(7 + -3x) 30 + -9 + 21x + (1 * 5 + x * 5) = 40 + -2(7 + -3x) 30 + -9 + 21x + (5 + 5x) = 40 + -2(7 + -3x) Reorder the terms: 30 + -9 + 5 + 21x + 5x = 40 + -2(7 + -3x) Combine like terms: 30 + -9 = 21 21 + 5 + 21x + 5x = 40 + -2(7 + -3x) Combine like terms: 21 + 5 = 26 26 + 21x + 5x = 40 + -2(7 + -3x) Combine like terms: 21x + 5x = 26x 26 + 26x = 40 + -2(7 + -3x) 26 + 26x = 40 + (7 * -2 + -3x * -2) 26 + 26x = 40 + (-14 + 6x) Combine like terms: 40 + -14 = 26 26 + 26x = 26 + 6x Add '-26' to each side of the equation. 26 + -26 + 26x = 26 + -26 + 6x Combine like terms: 26 + -26 = 0 0 + 26x = 26 + -26 + 6x 26x = 26 + -26 + 6x Combine like terms: 26 + -26 = 0 26x = 0 + 6x 26x = 6x Solving 26x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 26x + -6x = 6x + -6x Combine like terms: 26x + -6x = 20x 20x = 6x + -6x Combine like terms: 6x + -6x = 0 20x = 0 Divide each side by '20'. x = 0.0 Simplifying x = 0.0
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