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Simplifying 2(3x + -5) + 8x + 1 = 75 Reorder the terms: 2(-5 + 3x) + 8x + 1 = 75 (-5 * 2 + 3x * 2) + 8x + 1 = 75 (-10 + 6x) + 8x + 1 = 75 Reorder the terms: -10 + 1 + 6x + 8x = 75 Combine like terms: -10 + 1 = -9 -9 + 6x + 8x = 75 Combine like terms: 6x + 8x = 14x -9 + 14x = 75 Solving -9 + 14x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 14x = 75 + 9 Combine like terms: -9 + 9 = 0 0 + 14x = 75 + 9 14x = 75 + 9 Combine like terms: 75 + 9 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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