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Simplifying 3(x + 4) = 2(3 + -2x) Reorder the terms: 3(4 + x) = 2(3 + -2x) (4 * 3 + x * 3) = 2(3 + -2x) (12 + 3x) = 2(3 + -2x) 12 + 3x = (3 * 2 + -2x * 2) 12 + 3x = (6 + -4x) Solving 12 + 3x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + 3x + 4x = 6 + -4x + 4x Combine like terms: 3x + 4x = 7x 12 + 7x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 7x = 6 + 0 12 + 7x = 6 Add '-12' to each side of the equation. 12 + -12 + 7x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 6 + -12 7x = 6 + -12 Combine like terms: 6 + -12 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571
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