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Simplifying 6(1 + 9x) + -6(-1x + -6) = 0 (1 * 6 + 9x * 6) + -6(-1x + -6) = 0 (6 + 54x) + -6(-1x + -6) = 0 Reorder the terms: 6 + 54x + -6(-6 + -1x) = 0 6 + 54x + (-6 * -6 + -1x * -6) = 0 6 + 54x + (36 + 6x) = 0 Reorder the terms: 6 + 36 + 54x + 6x = 0 Combine like terms: 6 + 36 = 42 42 + 54x + 6x = 0 Combine like terms: 54x + 6x = 60x 42 + 60x = 0 Solving 42 + 60x = 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 + 60x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 60x = 0 + -42 60x = 0 + -42 Combine like terms: 0 + -42 = -42 60x = -42 Divide each side by '60'. x = -0.7 Simplifying x = -0.7
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