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Simplifying 3(2x + 5) + 6(3x + -4) = 0 Reorder the terms: 3(5 + 2x) + 6(3x + -4) = 0 (5 * 3 + 2x * 3) + 6(3x + -4) = 0 (15 + 6x) + 6(3x + -4) = 0 Reorder the terms: 15 + 6x + 6(-4 + 3x) = 0 15 + 6x + (-4 * 6 + 3x * 6) = 0 15 + 6x + (-24 + 18x) = 0 Reorder the terms: 15 + -24 + 6x + 18x = 0 Combine like terms: 15 + -24 = -9 -9 + 6x + 18x = 0 Combine like terms: 6x + 18x = 24x -9 + 24x = 0 Solving -9 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 24x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 24x = 0 + 9 24x = 0 + 9 Combine like terms: 0 + 9 = 9 24x = 9 Divide each side by '24'. x = 0.375 Simplifying x = 0.375
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