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Simplifying (5x + -4) + (8x + 10) = 38 Reorder the terms: (-4 + 5x) + (8x + 10) = 38 Remove parenthesis around (-4 + 5x) -4 + 5x + (8x + 10) = 38 Reorder the terms: -4 + 5x + (10 + 8x) = 38 Remove parenthesis around (10 + 8x) -4 + 5x + 10 + 8x = 38 Reorder the terms: -4 + 10 + 5x + 8x = 38 Combine like terms: -4 + 10 = 6 6 + 5x + 8x = 38 Combine like terms: 5x + 8x = 13x 6 + 13x = 38 Solving 6 + 13x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 13x = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 38 + -6 13x = 38 + -6 Combine like terms: 38 + -6 = 32 13x = 32 Divide each side by '13'. x = 2.461538462 Simplifying x = 2.461538462
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