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Simplifying 5(2x + -6) + -9x = 1 Reorder the terms: 5(-6 + 2x) + -9x = 1 (-6 * 5 + 2x * 5) + -9x = 1 (-30 + 10x) + -9x = 1 Combine like terms: 10x + -9x = 1x -30 + 1x = 1 Solving -30 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1x = 1 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 1 + 30 1x = 1 + 30 Combine like terms: 1 + 30 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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