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Simplifying 9x + -1(4 + -1x) = 4[3 + -1(6 + 2x + -9)] 9x + (4 * -1 + -1x * -1) = 4[3 + -1(6 + 2x + -9)] 9x + (-4 + 1x) = 4[3 + -1(6 + 2x + -9)] Reorder the terms: -4 + 9x + 1x = 4[3 + -1(6 + 2x + -9)] Combine like terms: 9x + 1x = 10x -4 + 10x = 4[3 + -1(6 + 2x + -9)] Reorder the terms: -4 + 10x = 4[3 + -1(6 + -9 + 2x)] Combine like terms: 6 + -9 = -3 -4 + 10x = 4[3 + -1(-3 + 2x)] -4 + 10x = 4[3 + (-3 * -1 + 2x * -1)] -4 + 10x = 4[3 + (3 + -2x)] Combine like terms: 3 + 3 = 6 -4 + 10x = 4[6 + -2x] -4 + 10x = [6 * 4 + -2x * 4] -4 + 10x = [24 + -8x] Solving -4 + 10x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -4 + 10x + 8x = 24 + -8x + 8x Combine like terms: 10x + 8x = 18x -4 + 18x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 18x = 24 + 0 -4 + 18x = 24 Add '4' to each side of the equation. -4 + 4 + 18x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = 24 + 4 18x = 24 + 4 Combine like terms: 24 + 4 = 28 18x = 28 Divide each side by '18'. x = 1.555555556 Simplifying x = 1.555555556
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