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Simplifying 4(3x + 1) + 5(3 + -3) = 0 Reorder the terms: 4(1 + 3x) + 5(3 + -3) = 0 (1 * 4 + 3x * 4) + 5(3 + -3) = 0 (4 + 12x) + 5(3 + -3) = 0 Combine like terms: 3 + -3 = 0 4 + 12x + 5(0) = 0 Multiply 5 * 0 4 + 12x + 0 = 0 Anything times zero is zero. 4 + 12x + 0 = 0 Reorder the terms: 4 + 0 + 12x = 0 Combine like terms: 4 + 0 = 4 4 + 12x = 0 Solving 4 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 12x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 0 + -4 12x = 0 + -4 Combine like terms: 0 + -4 = -4 12x = -4 Divide each side by '12'. x = -0.3333333333 Simplifying x = -0.3333333333
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