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Simplifying 3(2 + -3x) = 4(1 + -4x) (2 * 3 + -3x * 3) = 4(1 + -4x) (6 + -9x) = 4(1 + -4x) 6 + -9x = (1 * 4 + -4x * 4) 6 + -9x = (4 + -16x) Solving 6 + -9x = 4 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 6 + -9x + 16x = 4 + -16x + 16x Combine like terms: -9x + 16x = 7x 6 + 7x = 4 + -16x + 16x Combine like terms: -16x + 16x = 0 6 + 7x = 4 + 0 6 + 7x = 4 Add '-6' to each side of the equation. 6 + -6 + 7x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 4 + -6 7x = 4 + -6 Combine like terms: 4 + -6 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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