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Simplifying 6[4 + -1(5x + -3)] + 9x = 0 Reorder the terms: 6[4 + -1(-3 + 5x)] + 9x = 0 6[4 + (-3 * -1 + 5x * -1)] + 9x = 0 6[4 + (3 + -5x)] + 9x = 0 Combine like terms: 4 + 3 = 7 6[7 + -5x] + 9x = 0 [7 * 6 + -5x * 6] + 9x = 0 [42 + -30x] + 9x = 0 Combine like terms: -30x + 9x = -21x 42 + -21x = 0 Solving 42 + -21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -21x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -21x = 0 + -42 -21x = 0 + -42 Combine like terms: 0 + -42 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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