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Simplifying 9x + -1(8 + -1x) = 9[8 + -1(4 + 2x + -9)] 9x + (8 * -1 + -1x * -1) = 9[8 + -1(4 + 2x + -9)] 9x + (-8 + 1x) = 9[8 + -1(4 + 2x + -9)] Reorder the terms: -8 + 9x + 1x = 9[8 + -1(4 + 2x + -9)] Combine like terms: 9x + 1x = 10x -8 + 10x = 9[8 + -1(4 + 2x + -9)] Reorder the terms: -8 + 10x = 9[8 + -1(4 + -9 + 2x)] Combine like terms: 4 + -9 = -5 -8 + 10x = 9[8 + -1(-5 + 2x)] -8 + 10x = 9[8 + (-5 * -1 + 2x * -1)] -8 + 10x = 9[8 + (5 + -2x)] Combine like terms: 8 + 5 = 13 -8 + 10x = 9[13 + -2x] -8 + 10x = [13 * 9 + -2x * 9] -8 + 10x = [117 + -18x] Solving -8 + 10x = 117 + -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. -8 + 10x + 18x = 117 + -18x + 18x Combine like terms: 10x + 18x = 28x -8 + 28x = 117 + -18x + 18x Combine like terms: -18x + 18x = 0 -8 + 28x = 117 + 0 -8 + 28x = 117 Add '8' to each side of the equation. -8 + 8 + 28x = 117 + 8 Combine like terms: -8 + 8 = 0 0 + 28x = 117 + 8 28x = 117 + 8 Combine like terms: 117 + 8 = 125 28x = 125 Divide each side by '28'. x = 4.464285714 Simplifying x = 4.464285714
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