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Simplifying 2(3 + -4x) = -1 + 3(2 + -5x) + -4(2 + -1x) (3 * 2 + -4x * 2) = -1 + 3(2 + -5x) + -4(2 + -1x) (6 + -8x) = -1 + 3(2 + -5x) + -4(2 + -1x) 6 + -8x = -1 + (2 * 3 + -5x * 3) + -4(2 + -1x) 6 + -8x = -1 + (6 + -15x) + -4(2 + -1x) 6 + -8x = -1 + 6 + -15x + (2 * -4 + -1x * -4) 6 + -8x = -1 + 6 + -15x + (-8 + 4x) Reorder the terms: 6 + -8x = -1 + 6 + -8 + -15x + 4x Combine like terms: -1 + 6 = 5 6 + -8x = 5 + -8 + -15x + 4x Combine like terms: 5 + -8 = -3 6 + -8x = -3 + -15x + 4x Combine like terms: -15x + 4x = -11x 6 + -8x = -3 + -11x Solving 6 + -8x = -3 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 6 + -8x + 11x = -3 + -11x + 11x Combine like terms: -8x + 11x = 3x 6 + 3x = -3 + -11x + 11x Combine like terms: -11x + 11x = 0 6 + 3x = -3 + 0 6 + 3x = -3 Add '-6' to each side of the equation. 6 + -6 + 3x = -3 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -3 + -6 3x = -3 + -6 Combine like terms: -3 + -6 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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