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Simplifying 8(-9x + 4) = 3(6x + 9) + 5 Reorder the terms: 8(4 + -9x) = 3(6x + 9) + 5 (4 * 8 + -9x * 8) = 3(6x + 9) + 5 (32 + -72x) = 3(6x + 9) + 5 Reorder the terms: 32 + -72x = 3(9 + 6x) + 5 32 + -72x = (9 * 3 + 6x * 3) + 5 32 + -72x = (27 + 18x) + 5 Reorder the terms: 32 + -72x = 27 + 5 + 18x Combine like terms: 27 + 5 = 32 32 + -72x = 32 + 18x Add '-32' to each side of the equation. 32 + -32 + -72x = 32 + -32 + 18x Combine like terms: 32 + -32 = 0 0 + -72x = 32 + -32 + 18x -72x = 32 + -32 + 18x Combine like terms: 32 + -32 = 0 -72x = 0 + 18x -72x = 18x Solving -72x = 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. -72x + -18x = 18x + -18x Combine like terms: -72x + -18x = -90x -90x = 18x + -18x Combine like terms: 18x + -18x = 0 -90x = 0 Divide each side by '-90'. x = 0.0 Simplifying x = 0.0
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