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Simplifying 2 + -4(2 + -5x) = 3x + -6(3 + 4x + -1) 2 + (2 * -4 + -5x * -4) = 3x + -6(3 + 4x + -1) 2 + (-8 + 20x) = 3x + -6(3 + 4x + -1) Combine like terms: 2 + -8 = -6 -6 + 20x = 3x + -6(3 + 4x + -1) Reorder the terms: -6 + 20x = 3x + -6(3 + -1 + 4x) Combine like terms: 3 + -1 = 2 -6 + 20x = 3x + -6(2 + 4x) -6 + 20x = 3x + (2 * -6 + 4x * -6) -6 + 20x = 3x + (-12 + -24x) Reorder the terms: -6 + 20x = -12 + 3x + -24x Combine like terms: 3x + -24x = -21x -6 + 20x = -12 + -21x Solving -6 + 20x = -12 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -6 + 20x + 21x = -12 + -21x + 21x Combine like terms: 20x + 21x = 41x -6 + 41x = -12 + -21x + 21x Combine like terms: -21x + 21x = 0 -6 + 41x = -12 + 0 -6 + 41x = -12 Add '6' to each side of the equation. -6 + 6 + 41x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 41x = -12 + 6 41x = -12 + 6 Combine like terms: -12 + 6 = -6 41x = -6 Divide each side by '41'. x = -0.1463414634 Simplifying x = -0.1463414634
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