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Simplifying 3(5 + -3x) + 6(5x + -1) = 0 (5 * 3 + -3x * 3) + 6(5x + -1) = 0 (15 + -9x) + 6(5x + -1) = 0 Reorder the terms: 15 + -9x + 6(-1 + 5x) = 0 15 + -9x + (-1 * 6 + 5x * 6) = 0 15 + -9x + (-6 + 30x) = 0 Reorder the terms: 15 + -6 + -9x + 30x = 0 Combine like terms: 15 + -6 = 9 9 + -9x + 30x = 0 Combine like terms: -9x + 30x = 21x 9 + 21x = 0 Solving 9 + 21x = 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 + 21x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 21x = 0 + -9 21x = 0 + -9 Combine like terms: 0 + -9 = -9 21x = -9 Divide each side by '21'. x = -0.4285714286 Simplifying x = -0.4285714286
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