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Simplifying 9(x + -5) + -1(4x + -5) = 1 Reorder the terms: 9(-5 + x) + -1(4x + -5) = 1 (-5 * 9 + x * 9) + -1(4x + -5) = 1 (-45 + 9x) + -1(4x + -5) = 1 Reorder the terms: -45 + 9x + -1(-5 + 4x) = 1 -45 + 9x + (-5 * -1 + 4x * -1) = 1 -45 + 9x + (5 + -4x) = 1 Reorder the terms: -45 + 5 + 9x + -4x = 1 Combine like terms: -45 + 5 = -40 -40 + 9x + -4x = 1 Combine like terms: 9x + -4x = 5x -40 + 5x = 1 Solving -40 + 5x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 5x = 1 + 40 Combine like terms: -40 + 40 = 0 0 + 5x = 1 + 40 5x = 1 + 40 Combine like terms: 1 + 40 = 41 5x = 41 Divide each side by '5'. x = 8.2 Simplifying x = 8.2
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