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Simplifying 3x + -4(3 + -2x) = 4 + -3(2 + 4x) 3x + (3 * -4 + -2x * -4) = 4 + -3(2 + 4x) 3x + (-12 + 8x) = 4 + -3(2 + 4x) Reorder the terms: -12 + 3x + 8x = 4 + -3(2 + 4x) Combine like terms: 3x + 8x = 11x -12 + 11x = 4 + -3(2 + 4x) -12 + 11x = 4 + (2 * -3 + 4x * -3) -12 + 11x = 4 + (-6 + -12x) Combine like terms: 4 + -6 = -2 -12 + 11x = -2 + -12x Solving -12 + 11x = -2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -12 + 11x + 12x = -2 + -12x + 12x Combine like terms: 11x + 12x = 23x -12 + 23x = -2 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 23x = -2 + 0 -12 + 23x = -2 Add '12' to each side of the equation. -12 + 12 + 23x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 23x = -2 + 12 23x = -2 + 12 Combine like terms: -2 + 12 = 10 23x = 10 Divide each side by '23'. x = 0.4347826087 Simplifying x = 0.4347826087
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