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Simplifying 6[3 + -1(4x + -6)] + 9x = 0 Reorder the terms: 6[3 + -1(-6 + 4x)] + 9x = 0 6[3 + (-6 * -1 + 4x * -1)] + 9x = 0 6[3 + (6 + -4x)] + 9x = 0 Combine like terms: 3 + 6 = 9 6[9 + -4x] + 9x = 0 [9 * 6 + -4x * 6] + 9x = 0 [54 + -24x] + 9x = 0 Combine like terms: -24x + 9x = -15x 54 + -15x = 0 Solving 54 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -15x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -15x = 0 + -54 -15x = 0 + -54 Combine like terms: 0 + -54 = -54 -15x = -54 Divide each side by '-15'. x = 3.6 Simplifying x = 3.6
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