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Simplifying 9x + (-6) = 3(2 + x) + 6 9x + -6 = 3(2 + x) + 6 Reorder the terms: -6 + 9x = 3(2 + x) + 6 -6 + 9x = (2 * 3 + x * 3) + 6 -6 + 9x = (6 + 3x) + 6 Reorder the terms: -6 + 9x = 6 + 6 + 3x Combine like terms: 6 + 6 = 12 -6 + 9x = 12 + 3x Solving -6 + 9x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 9x + -3x = 12 + 3x + -3x Combine like terms: 9x + -3x = 6x -6 + 6x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 6x = 12 + 0 -6 + 6x = 12 Add '6' to each side of the equation. -6 + 6 + 6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 12 + 6 6x = 12 + 6 Combine like terms: 12 + 6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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