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Simplifying 9(-3x + 6) + -10(9x + -6) = 0 Reorder the terms: 9(6 + -3x) + -10(9x + -6) = 0 (6 * 9 + -3x * 9) + -10(9x + -6) = 0 (54 + -27x) + -10(9x + -6) = 0 Reorder the terms: 54 + -27x + -10(-6 + 9x) = 0 54 + -27x + (-6 * -10 + 9x * -10) = 0 54 + -27x + (60 + -90x) = 0 Reorder the terms: 54 + 60 + -27x + -90x = 0 Combine like terms: 54 + 60 = 114 114 + -27x + -90x = 0 Combine like terms: -27x + -90x = -117x 114 + -117x = 0 Solving 114 + -117x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-114' to each side of the equation. 114 + -114 + -117x = 0 + -114 Combine like terms: 114 + -114 = 0 0 + -117x = 0 + -114 -117x = 0 + -114 Combine like terms: 0 + -114 = -114 -117x = -114 Divide each side by '-117'. x = 0.9743589744 Simplifying x = 0.9743589744
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