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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 = -54x 32 + -54x = -27 + -18x + 18x Combine like terms: -18x + 18x = 0 32 + -54x = -27 + 0 32 + -54x = -27 Add '-32' to each side of the equation. 32 + -32 + -54x = -27 + -32 Combine like terms: 32 + -32 = 0 0 + -54x = -27 + -32 -54x = -27 + -32 Combine like terms: -27 + -32 = -59 -54x = -59 Divide each side by '-54'. x = 1.092592593 Simplifying x = 1.092592593
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