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Simplifying 5(-4x + 1) + -6(1 + 9x) = 8 + -1x + -9 Reorder the terms: 5(1 + -4x) + -6(1 + 9x) = 8 + -1x + -9 (1 * 5 + -4x * 5) + -6(1 + 9x) = 8 + -1x + -9 (5 + -20x) + -6(1 + 9x) = 8 + -1x + -9 5 + -20x + (1 * -6 + 9x * -6) = 8 + -1x + -9 5 + -20x + (-6 + -54x) = 8 + -1x + -9 Reorder the terms: 5 + -6 + -20x + -54x = 8 + -1x + -9 Combine like terms: 5 + -6 = -1 -1 + -20x + -54x = 8 + -1x + -9 Combine like terms: -20x + -54x = -74x -1 + -74x = 8 + -1x + -9 Reorder the terms: -1 + -74x = 8 + -9 + -1x Combine like terms: 8 + -9 = -1 -1 + -74x = -1 + -1x Add '1' to each side of the equation. -1 + 1 + -74x = -1 + 1 + -1x Combine like terms: -1 + 1 = 0 0 + -74x = -1 + 1 + -1x -74x = -1 + 1 + -1x Combine like terms: -1 + 1 = 0 -74x = 0 + -1x -74x = -1x Solving -74x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -74x + x = -1x + x Combine like terms: -74x + x = -73x -73x = -1x + x Combine like terms: -1x + x = 0 -73x = 0 Divide each side by '-73'. x = 0 Simplifying x = 0
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