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Simplifying 5 + -4(2x + -1) = 1 + -3(5x + 1) Reorder the terms: 5 + -4(-1 + 2x) = 1 + -3(5x + 1) 5 + (-1 * -4 + 2x * -4) = 1 + -3(5x + 1) 5 + (4 + -8x) = 1 + -3(5x + 1) Combine like terms: 5 + 4 = 9 9 + -8x = 1 + -3(5x + 1) Reorder the terms: 9 + -8x = 1 + -3(1 + 5x) 9 + -8x = 1 + (1 * -3 + 5x * -3) 9 + -8x = 1 + (-3 + -15x) Combine like terms: 1 + -3 = -2 9 + -8x = -2 + -15x Solving 9 + -8x = -2 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 9 + -8x + 15x = -2 + -15x + 15x Combine like terms: -8x + 15x = 7x 9 + 7x = -2 + -15x + 15x Combine like terms: -15x + 15x = 0 9 + 7x = -2 + 0 9 + 7x = -2 Add '-9' to each side of the equation. 9 + -9 + 7x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = -2 + -9 7x = -2 + -9 Combine like terms: -2 + -9 = -11 7x = -11 Divide each side by '7'. x = -1.571428571 Simplifying x = -1.571428571
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