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Simplifying 3(2x + 1) = 9x + -6 Reorder the terms: 3(1 + 2x) = 9x + -6 (1 * 3 + 2x * 3) = 9x + -6 (3 + 6x) = 9x + -6 Reorder the terms: 3 + 6x = -6 + 9x Solving 3 + 6x = -6 + 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. 3 + 6x + -9x = -6 + 9x + -9x Combine like terms: 6x + -9x = -3x 3 + -3x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -3x = -6 + 0 3 + -3x = -6 Add '-3' to each side of the equation. 3 + -3 + -3x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -6 + -3 -3x = -6 + -3 Combine like terms: -6 + -3 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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