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Simplifying 3(4x + 5) + 2(3x + -4) = 0 Reorder the terms: 3(5 + 4x) + 2(3x + -4) = 0 (5 * 3 + 4x * 3) + 2(3x + -4) = 0 (15 + 12x) + 2(3x + -4) = 0 Reorder the terms: 15 + 12x + 2(-4 + 3x) = 0 15 + 12x + (-4 * 2 + 3x * 2) = 0 15 + 12x + (-8 + 6x) = 0 Reorder the terms: 15 + -8 + 12x + 6x = 0 Combine like terms: 15 + -8 = 7 7 + 12x + 6x = 0 Combine like terms: 12x + 6x = 18x 7 + 18x = 0 Solving 7 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 18x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 18x = 0 + -7 18x = 0 + -7 Combine like terms: 0 + -7 = -7 18x = -7 Divide each side by '18'. x = -0.3888888889 Simplifying x = -0.3888888889
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