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Simplifying 3(2x + 1) + -2(x + -5) + -5(5 + -2x) = 16 Reorder the terms: 3(1 + 2x) + -2(x + -5) + -5(5 + -2x) = 16 (1 * 3 + 2x * 3) + -2(x + -5) + -5(5 + -2x) = 16 (3 + 6x) + -2(x + -5) + -5(5 + -2x) = 16 Reorder the terms: 3 + 6x + -2(-5 + x) + -5(5 + -2x) = 16 3 + 6x + (-5 * -2 + x * -2) + -5(5 + -2x) = 16 3 + 6x + (10 + -2x) + -5(5 + -2x) = 16 3 + 6x + 10 + -2x + (5 * -5 + -2x * -5) = 16 3 + 6x + 10 + -2x + (-25 + 10x) = 16 Reorder the terms: 3 + 10 + -25 + 6x + -2x + 10x = 16 Combine like terms: 3 + 10 = 13 13 + -25 + 6x + -2x + 10x = 16 Combine like terms: 13 + -25 = -12 -12 + 6x + -2x + 10x = 16 Combine like terms: 6x + -2x = 4x -12 + 4x + 10x = 16 Combine like terms: 4x + 10x = 14x -12 + 14x = 16 Solving -12 + 14x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 14x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 16 + 12 14x = 16 + 12 Combine like terms: 16 + 12 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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