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Simplifying 4(3x + 4) + 5(x + -3) = 0 Reorder the terms: 4(4 + 3x) + 5(x + -3) = 0 (4 * 4 + 3x * 4) + 5(x + -3) = 0 (16 + 12x) + 5(x + -3) = 0 Reorder the terms: 16 + 12x + 5(-3 + x) = 0 16 + 12x + (-3 * 5 + x * 5) = 0 16 + 12x + (-15 + 5x) = 0 Reorder the terms: 16 + -15 + 12x + 5x = 0 Combine like terms: 16 + -15 = 1 1 + 12x + 5x = 0 Combine like terms: 12x + 5x = 17x 1 + 17x = 0 Solving 1 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 17x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 17x = 0 + -1 17x = 0 + -1 Combine like terms: 0 + -1 = -1 17x = -1 Divide each side by '17'. x = -0.05882352941 Simplifying x = -0.05882352941
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