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Simplifying 6x + -1 = 74 + -9x Reorder the terms: -1 + 6x = 74 + -9x Solving -1 + 6x = 74 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -1 + 6x + 9x = 74 + -9x + 9x Combine like terms: 6x + 9x = 15x -1 + 15x = 74 + -9x + 9x Combine like terms: -9x + 9x = 0 -1 + 15x = 74 + 0 -1 + 15x = 74 Add '1' to each side of the equation. -1 + 1 + 15x = 74 + 1 Combine like terms: -1 + 1 = 0 0 + 15x = 74 + 1 15x = 74 + 1 Combine like terms: 74 + 1 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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