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Simplifying 6(7 + -6x + -9x) + 9(8x + 6) = 6 Combine like terms: -6x + -9x = -15x 6(7 + -15x) + 9(8x + 6) = 6 (7 * 6 + -15x * 6) + 9(8x + 6) = 6 (42 + -90x) + 9(8x + 6) = 6 Reorder the terms: 42 + -90x + 9(6 + 8x) = 6 42 + -90x + (6 * 9 + 8x * 9) = 6 42 + -90x + (54 + 72x) = 6 Reorder the terms: 42 + 54 + -90x + 72x = 6 Combine like terms: 42 + 54 = 96 96 + -90x + 72x = 6 Combine like terms: -90x + 72x = -18x 96 + -18x = 6 Solving 96 + -18x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -18x = 6 + -96 Combine like terms: 96 + -96 = 0 0 + -18x = 6 + -96 -18x = 6 + -96 Combine like terms: 6 + -96 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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