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Simplifying (5x + 3) + (8x + -5) = 12 Reorder the terms: (3 + 5x) + (8x + -5) = 12 Remove parenthesis around (3 + 5x) 3 + 5x + (8x + -5) = 12 Reorder the terms: 3 + 5x + (-5 + 8x) = 12 Remove parenthesis around (-5 + 8x) 3 + 5x + -5 + 8x = 12 Reorder the terms: 3 + -5 + 5x + 8x = 12 Combine like terms: 3 + -5 = -2 -2 + 5x + 8x = 12 Combine like terms: 5x + 8x = 13x -2 + 13x = 12 Solving -2 + 13x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 13x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 12 + 2 13x = 12 + 2 Combine like terms: 12 + 2 = 14 13x = 14 Divide each side by '13'. x = 1.076923077 Simplifying x = 1.076923077
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