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Simplifying 9(2x + -6) = 7x + 1 Reorder the terms: 9(-6 + 2x) = 7x + 1 (-6 * 9 + 2x * 9) = 7x + 1 (-54 + 18x) = 7x + 1 Reorder the terms: -54 + 18x = 1 + 7x Solving -54 + 18x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -54 + 18x + -7x = 1 + 7x + -7x Combine like terms: 18x + -7x = 11x -54 + 11x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -54 + 11x = 1 + 0 -54 + 11x = 1 Add '54' to each side of the equation. -54 + 54 + 11x = 1 + 54 Combine like terms: -54 + 54 = 0 0 + 11x = 1 + 54 11x = 1 + 54 Combine like terms: 1 + 54 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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