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Simplifying 13(x + -5) = 5x + -11 Reorder the terms: 13(-5 + x) = 5x + -11 (-5 * 13 + x * 13) = 5x + -11 (-65 + 13x) = 5x + -11 Reorder the terms: -65 + 13x = -11 + 5x Solving -65 + 13x = -11 + 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. -65 + 13x + -5x = -11 + 5x + -5x Combine like terms: 13x + -5x = 8x -65 + 8x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -65 + 8x = -11 + 0 -65 + 8x = -11 Add '65' to each side of the equation. -65 + 65 + 8x = -11 + 65 Combine like terms: -65 + 65 = 0 0 + 8x = -11 + 65 8x = -11 + 65 Combine like terms: -11 + 65 = 54 8x = 54 Divide each side by '8'. x = 6.75 Simplifying x = 6.75
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