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Simplifying 8(-9x + 4) = 3(6x + 9) Reorder the terms: 8(4 + -9x) = 3(6x + 9) (4 * 8 + -9x * 8) = 3(6x + 9) (32 + -72x) = 3(6x + 9) Reorder the terms: 32 + -72x = 3(9 + 6x) 32 + -72x = (9 * 3 + 6x * 3) 32 + -72x = (27 + 18x) Solving 32 + -72x = 27 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 32 + -72x + -18x = 27 + 18x + -18x Combine like terms: -72x + -18x = -90x 32 + -90x = 27 + 18x + -18x Combine like terms: 18x + -18x = 0 32 + -90x = 27 + 0 32 + -90x = 27 Add '-32' to each side of the equation. 32 + -32 + -90x = 27 + -32 Combine like terms: 32 + -32 = 0 0 + -90x = 27 + -32 -90x = 27 + -32 Combine like terms: 27 + -32 = -5 -90x = -5 Divide each side by '-90'. x = 0.05555555556 Simplifying x = 0.05555555556
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