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Simplifying 4(4x + 3) = 3(3 + -4x) Reorder the terms: 4(3 + 4x) = 3(3 + -4x) (3 * 4 + 4x * 4) = 3(3 + -4x) (12 + 16x) = 3(3 + -4x) 12 + 16x = (3 * 3 + -4x * 3) 12 + 16x = (9 + -12x) Solving 12 + 16x = 9 + -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 + 16x + 12x = 9 + -12x + 12x Combine like terms: 16x + 12x = 28x 12 + 28x = 9 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + 28x = 9 + 0 12 + 28x = 9 Add '-12' to each side of the equation. 12 + -12 + 28x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 28x = 9 + -12 28x = 9 + -12 Combine like terms: 9 + -12 = -3 28x = -3 Divide each side by '28'. x = -0.1071428571 Simplifying x = -0.1071428571
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