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Simplifying 5x + -6 = 69 + -10x Reorder the terms: -6 + 5x = 69 + -10x Solving -6 + 5x = 69 + -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. -6 + 5x + 10x = 69 + -10x + 10x Combine like terms: 5x + 10x = 15x -6 + 15x = 69 + -10x + 10x Combine like terms: -10x + 10x = 0 -6 + 15x = 69 + 0 -6 + 15x = 69 Add '6' to each side of the equation. -6 + 6 + 15x = 69 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 69 + 6 15x = 69 + 6 Combine like terms: 69 + 6 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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