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Simplifying 13(x + -2) = 8x + -6 Reorder the terms: 13(-2 + x) = 8x + -6 (-2 * 13 + x * 13) = 8x + -6 (-26 + 13x) = 8x + -6 Reorder the terms: -26 + 13x = -6 + 8x Solving -26 + 13x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -26 + 13x + -8x = -6 + 8x + -8x Combine like terms: 13x + -8x = 5x -26 + 5x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -26 + 5x = -6 + 0 -26 + 5x = -6 Add '26' to each side of the equation. -26 + 26 + 5x = -6 + 26 Combine like terms: -26 + 26 = 0 0 + 5x = -6 + 26 5x = -6 + 26 Combine like terms: -6 + 26 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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