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Simplifying 2(3x + 6) = 2x + -3(x + -2) Reorder the terms: 2(6 + 3x) = 2x + -3(x + -2) (6 * 2 + 3x * 2) = 2x + -3(x + -2) (12 + 6x) = 2x + -3(x + -2) Reorder the terms: 12 + 6x = 2x + -3(-2 + x) 12 + 6x = 2x + (-2 * -3 + x * -3) 12 + 6x = 2x + (6 + -3x) Reorder the terms: 12 + 6x = 6 + 2x + -3x Combine like terms: 2x + -3x = -1x 12 + 6x = 6 + -1x Solving 12 + 6x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + 6x + x = 6 + -1x + x Combine like terms: 6x + x = 7x 12 + 7x = 6 + -1x + x Combine like terms: -1x + x = 0 12 + 7x = 6 + 0 12 + 7x = 6 Add '-12' to each side of the equation. 12 + -12 + 7x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 6 + -12 7x = 6 + -12 Combine like terms: 6 + -12 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571
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