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Simplifying 13(4x + -5) = 9x + -2 Reorder the terms: 13(-5 + 4x) = 9x + -2 (-5 * 13 + 4x * 13) = 9x + -2 (-65 + 52x) = 9x + -2 Reorder the terms: -65 + 52x = -2 + 9x Solving -65 + 52x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -65 + 52x + -9x = -2 + 9x + -9x Combine like terms: 52x + -9x = 43x -65 + 43x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 -65 + 43x = -2 + 0 -65 + 43x = -2 Add '65' to each side of the equation. -65 + 65 + 43x = -2 + 65 Combine like terms: -65 + 65 = 0 0 + 43x = -2 + 65 43x = -2 + 65 Combine like terms: -2 + 65 = 63 43x = 63 Divide each side by '43'. x = 1.465116279 Simplifying x = 1.465116279
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