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Simplifying 6(2x + 1) = 2x + -9x Reorder the terms: 6(1 + 2x) = 2x + -9x (1 * 6 + 2x * 6) = 2x + -9x (6 + 12x) = 2x + -9x Combine like terms: 2x + -9x = -7x 6 + 12x = -7x Solving 6 + 12x = -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. 6 + 12x + 7x = -7x + 7x Combine like terms: 12x + 7x = 19x 6 + 19x = -7x + 7x Combine like terms: -7x + 7x = 0 6 + 19x = 0 Add '-6' to each side of the equation. 6 + -6 + 19x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 19x = 0 + -6 19x = 0 + -6 Combine like terms: 0 + -6 = -6 19x = -6 Divide each side by '19'. x = -0.3157894737 Simplifying x = -0.3157894737
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