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Simplifying 13x + 5(x + -4) = 8x + 5 Reorder the terms: 13x + 5(-4 + x) = 8x + 5 13x + (-4 * 5 + x * 5) = 8x + 5 13x + (-20 + 5x) = 8x + 5 Reorder the terms: -20 + 13x + 5x = 8x + 5 Combine like terms: 13x + 5x = 18x -20 + 18x = 8x + 5 Reorder the terms: -20 + 18x = 5 + 8x Solving -20 + 18x = 5 + 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. -20 + 18x + -8x = 5 + 8x + -8x Combine like terms: 18x + -8x = 10x -20 + 10x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 10x = 5 + 0 -20 + 10x = 5 Add '20' to each side of the equation. -20 + 20 + 10x = 5 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 5 + 20 10x = 5 + 20 Combine like terms: 5 + 20 = 25 10x = 25 Divide each side by '10'. x = 2.5 Simplifying x = 2.5
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