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Simplifying 3(4 + 3x) = 4(x + -2) (4 * 3 + 3x * 3) = 4(x + -2) (12 + 9x) = 4(x + -2) Reorder the terms: 12 + 9x = 4(-2 + x) 12 + 9x = (-2 * 4 + x * 4) 12 + 9x = (-8 + 4x) Solving 12 + 9x = -8 + 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 + 9x + -4x = -8 + 4x + -4x Combine like terms: 9x + -4x = 5x 12 + 5x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 5x = -8 + 0 12 + 5x = -8 Add '-12' to each side of the equation. 12 + -12 + 5x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = -8 + -12 5x = -8 + -12 Combine like terms: -8 + -12 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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