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Simplifying -5(2x + 6) + 4(9x + 9) = 0 Reorder the terms: -5(6 + 2x) + 4(9x + 9) = 0 (6 * -5 + 2x * -5) + 4(9x + 9) = 0 (-30 + -10x) + 4(9x + 9) = 0 Reorder the terms: -30 + -10x + 4(9 + 9x) = 0 -30 + -10x + (9 * 4 + 9x * 4) = 0 -30 + -10x + (36 + 36x) = 0 Reorder the terms: -30 + 36 + -10x + 36x = 0 Combine like terms: -30 + 36 = 6 6 + -10x + 36x = 0 Combine like terms: -10x + 36x = 26x 6 + 26x = 0 Solving 6 + 26x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 26x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 26x = 0 + -6 26x = 0 + -6 Combine like terms: 0 + -6 = -6 26x = -6 Divide each side by '26'. x = -0.2307692308 Simplifying x = -0.2307692308
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