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Simplifying 13(6x + 11) = -20(x + -5) Reorder the terms: 13(11 + 6x) = -20(x + -5) (11 * 13 + 6x * 13) = -20(x + -5) (143 + 78x) = -20(x + -5) Reorder the terms: 143 + 78x = -20(-5 + x) 143 + 78x = (-5 * -20 + x * -20) 143 + 78x = (100 + -20x) Solving 143 + 78x = 100 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 143 + 78x + 20x = 100 + -20x + 20x Combine like terms: 78x + 20x = 98x 143 + 98x = 100 + -20x + 20x Combine like terms: -20x + 20x = 0 143 + 98x = 100 + 0 143 + 98x = 100 Add '-143' to each side of the equation. 143 + -143 + 98x = 100 + -143 Combine like terms: 143 + -143 = 0 0 + 98x = 100 + -143 98x = 100 + -143 Combine like terms: 100 + -143 = -43 98x = -43 Divide each side by '98'. x = -0.4387755102 Simplifying x = -0.4387755102
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