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Simplifying 3(x + -5) + 5(2x + 1) = 16 Reorder the terms: 3(-5 + x) + 5(2x + 1) = 16 (-5 * 3 + x * 3) + 5(2x + 1) = 16 (-15 + 3x) + 5(2x + 1) = 16 Reorder the terms: -15 + 3x + 5(1 + 2x) = 16 -15 + 3x + (1 * 5 + 2x * 5) = 16 -15 + 3x + (5 + 10x) = 16 Reorder the terms: -15 + 5 + 3x + 10x = 16 Combine like terms: -15 + 5 = -10 -10 + 3x + 10x = 16 Combine like terms: 3x + 10x = 13x -10 + 13x = 16 Solving -10 + 13x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 13x = 16 + 10 Combine like terms: -10 + 10 = 0 0 + 13x = 16 + 10 13x = 16 + 10 Combine like terms: 16 + 10 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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