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Simplifying 8(x + 2) + 4(9 + -9x) = 0 Reorder the terms: 8(2 + x) + 4(9 + -9x) = 0 (2 * 8 + x * 8) + 4(9 + -9x) = 0 (16 + 8x) + 4(9 + -9x) = 0 16 + 8x + (9 * 4 + -9x * 4) = 0 16 + 8x + (36 + -36x) = 0 Reorder the terms: 16 + 36 + 8x + -36x = 0 Combine like terms: 16 + 36 = 52 52 + 8x + -36x = 0 Combine like terms: 8x + -36x = -28x 52 + -28x = 0 Solving 52 + -28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -28x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -28x = 0 + -52 -28x = 0 + -52 Combine like terms: 0 + -52 = -52 -28x = -52 Divide each side by '-28'. x = 1.857142857 Simplifying x = 1.857142857
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