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Simplifying 7x + -4 + -1(-2 + -1(5x + -1(3x + 2)) + -2(4x + -3)) = -1 Reorder the terms: 7x + -4 + -1(-2 + -1(5x + -1(2 + 3x)) + -2(4x + -3)) = -1 7x + -4 + -1(-2 + -1(5x + (2 * -1 + 3x * -1)) + -2(4x + -3)) = -1 7x + -4 + -1(-2 + -1(5x + (-2 + -3x)) + -2(4x + -3)) = -1 Reorder the terms: 7x + -4 + -1(-2 + -1(-2 + 5x + -3x) + -2(4x + -3)) = -1 Combine like terms: 5x + -3x = 2x 7x + -4 + -1(-2 + -1(-2 + 2x) + -2(4x + -3)) = -1 7x + -4 + -1(-2 + (-2 * -1 + 2x * -1) + -2(4x + -3)) = -1 7x + -4 + -1(-2 + (2 + -2x) + -2(4x + -3)) = -1 Reorder the terms: 7x + -4 + -1(-2 + 2 + -2x + -2(-3 + 4x)) = -1 7x + -4 + -1(-2 + 2 + -2x + (-3 * -2 + 4x * -2)) = -1 7x + -4 + -1(-2 + 2 + -2x + (6 + -8x)) = -1 Reorder the terms: 7x + -4 + -1(-2 + 2 + 6 + -2x + -8x) = -1 Combine like terms: -2 + 2 = 0 7x + -4 + -1(0 + 6 + -2x + -8x) = -1 7x + -4 + -1(6 + -2x + -8x) = -1 Combine like terms: -2x + -8x = -10x 7x + -4 + -1(6 + -10x) = -1 7x + -4 + (6 * -1 + -10x * -1) = -1 7x + -4 + (-6 + 10x) = -1 Reorder the terms: -4 + -6 + 7x + 10x = -1 Combine like terms: -4 + -6 = -10 -10 + 7x + 10x = -1 Combine like terms: 7x + 10x = 17x -10 + 17x = -1 Solving -10 + 17x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 17x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 17x = -1 + 10 17x = -1 + 10 Combine like terms: -1 + 10 = 9 17x = 9 Divide each side by '17'. x = 0.5294117647 Simplifying x = 0.5294117647
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