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Simplifying 9(4x + -5) = 5(x + 2) + -2 Reorder the terms: 9(-5 + 4x) = 5(x + 2) + -2 (-5 * 9 + 4x * 9) = 5(x + 2) + -2 (-45 + 36x) = 5(x + 2) + -2 Reorder the terms: -45 + 36x = 5(2 + x) + -2 -45 + 36x = (2 * 5 + x * 5) + -2 -45 + 36x = (10 + 5x) + -2 Reorder the terms: -45 + 36x = 10 + -2 + 5x Combine like terms: 10 + -2 = 8 -45 + 36x = 8 + 5x Solving -45 + 36x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -45 + 36x + -5x = 8 + 5x + -5x Combine like terms: 36x + -5x = 31x -45 + 31x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 31x = 8 + 0 -45 + 31x = 8 Add '45' to each side of the equation. -45 + 45 + 31x = 8 + 45 Combine like terms: -45 + 45 = 0 0 + 31x = 8 + 45 31x = 8 + 45 Combine like terms: 8 + 45 = 53 31x = 53 Divide each side by '31'. x = 1.709677419 Simplifying x = 1.709677419
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