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Simplifying 4x + -9 = 75 + -10x Reorder the terms: -9 + 4x = 75 + -10x Solving -9 + 4x = 75 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -9 + 4x + 10x = 75 + -10x + 10x Combine like terms: 4x + 10x = 14x -9 + 14x = 75 + -10x + 10x Combine like terms: -10x + 10x = 0 -9 + 14x = 75 + 0 -9 + 14x = 75 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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