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Simplifying 9(4x + -5) + -2(3x + -7) = -1 Reorder the terms: 9(-5 + 4x) + -2(3x + -7) = -1 (-5 * 9 + 4x * 9) + -2(3x + -7) = -1 (-45 + 36x) + -2(3x + -7) = -1 Reorder the terms: -45 + 36x + -2(-7 + 3x) = -1 -45 + 36x + (-7 * -2 + 3x * -2) = -1 -45 + 36x + (14 + -6x) = -1 Reorder the terms: -45 + 14 + 36x + -6x = -1 Combine like terms: -45 + 14 = -31 -31 + 36x + -6x = -1 Combine like terms: 36x + -6x = 30x -31 + 30x = -1 Solving -31 + 30x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 30x = -1 + 31 Combine like terms: -31 + 31 = 0 0 + 30x = -1 + 31 30x = -1 + 31 Combine like terms: -1 + 31 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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