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Simplifying x + 6(x + -1) = 5x + 9 Reorder the terms: x + 6(-1 + x) = 5x + 9 x + (-1 * 6 + x * 6) = 5x + 9 x + (-6 + 6x) = 5x + 9 Reorder the terms: -6 + x + 6x = 5x + 9 Combine like terms: x + 6x = 7x -6 + 7x = 5x + 9 Reorder the terms: -6 + 7x = 9 + 5x Solving -6 + 7x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 7x + -5x = 9 + 5x + -5x Combine like terms: 7x + -5x = 2x -6 + 2x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 2x = 9 + 0 -6 + 2x = 9 Add '6' to each side of the equation. -6 + 6 + 2x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 9 + 6 2x = 9 + 6 Combine like terms: 9 + 6 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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