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Simplifying (5x + -3) * 2 + -11(4x + 1) = 1 Reorder the terms: (-3 + 5x) * 2 + -11(4x + 1) = 1 Reorder the terms for easier multiplication: 2(-3 + 5x) + -11(4x + 1) = 1 (-3 * 2 + 5x * 2) + -11(4x + 1) = 1 (-6 + 10x) + -11(4x + 1) = 1 Reorder the terms: -6 + 10x + -11(1 + 4x) = 1 -6 + 10x + (1 * -11 + 4x * -11) = 1 -6 + 10x + (-11 + -44x) = 1 Reorder the terms: -6 + -11 + 10x + -44x = 1 Combine like terms: -6 + -11 = -17 -17 + 10x + -44x = 1 Combine like terms: 10x + -44x = -34x -17 + -34x = 1 Solving -17 + -34x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -34x = 1 + 17 Combine like terms: -17 + 17 = 0 0 + -34x = 1 + 17 -34x = 1 + 17 Combine like terms: 1 + 17 = 18 -34x = 18 Divide each side by '-34'. x = -0.5294117647 Simplifying x = -0.5294117647
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