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Simplifying 13(6x + -8) = 5x + -6 Reorder the terms: 13(-8 + 6x) = 5x + -6 (-8 * 13 + 6x * 13) = 5x + -6 (-104 + 78x) = 5x + -6 Reorder the terms: -104 + 78x = -6 + 5x Solving -104 + 78x = -6 + 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. -104 + 78x + -5x = -6 + 5x + -5x Combine like terms: 78x + -5x = 73x -104 + 73x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -104 + 73x = -6 + 0 -104 + 73x = -6 Add '104' to each side of the equation. -104 + 104 + 73x = -6 + 104 Combine like terms: -104 + 104 = 0 0 + 73x = -6 + 104 73x = -6 + 104 Combine like terms: -6 + 104 = 98 73x = 98 Divide each side by '73'. x = 1.342465753 Simplifying x = 1.342465753
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