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Simplifying 6[4x + 5(2 + 3x)] + -12x + -9 = 0 6[4x + (2 * 5 + 3x * 5)] + -12x + -9 = 0 6[4x + (10 + 15x)] + -12x + -9 = 0 Reorder the terms: 6[10 + 4x + 15x] + -12x + -9 = 0 Combine like terms: 4x + 15x = 19x 6[10 + 19x] + -12x + -9 = 0 [10 * 6 + 19x * 6] + -12x + -9 = 0 [60 + 114x] + -12x + -9 = 0 Reorder the terms: 60 + -9 + 114x + -12x = 0 Combine like terms: 60 + -9 = 51 51 + 114x + -12x = 0 Combine like terms: 114x + -12x = 102x 51 + 102x = 0 Solving 51 + 102x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 102x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 102x = 0 + -51 102x = 0 + -51 Combine like terms: 0 + -51 = -51 102x = -51 Divide each side by '102'. x = -0.5 Simplifying x = -0.5
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