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Simplifying 2(1 + -4x) = 3(3x + 1) (1 * 2 + -4x * 2) = 3(3x + 1) (2 + -8x) = 3(3x + 1) Reorder the terms: 2 + -8x = 3(1 + 3x) 2 + -8x = (1 * 3 + 3x * 3) 2 + -8x = (3 + 9x) Solving 2 + -8x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + -8x + -9x = 3 + 9x + -9x Combine like terms: -8x + -9x = -17x 2 + -17x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -17x = 3 + 0 2 + -17x = 3 Add '-2' to each side of the equation. 2 + -2 + -17x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -17x = 3 + -2 -17x = 3 + -2 Combine like terms: 3 + -2 = 1 -17x = 1 Divide each side by '-17'. x = -0.05882352941 Simplifying x = -0.05882352941
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