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Simplifying 6 + 2(3x + -7) = -20 + 12x + 6 Reorder the terms: 6 + 2(-7 + 3x) = -20 + 12x + 6 6 + (-7 * 2 + 3x * 2) = -20 + 12x + 6 6 + (-14 + 6x) = -20 + 12x + 6 Combine like terms: 6 + -14 = -8 -8 + 6x = -20 + 12x + 6 Reorder the terms: -8 + 6x = -20 + 6 + 12x Combine like terms: -20 + 6 = -14 -8 + 6x = -14 + 12x Solving -8 + 6x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 6x + -12x = -14 + 12x + -12x Combine like terms: 6x + -12x = -6x -8 + -6x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -6x = -14 + 0 -8 + -6x = -14 Add '8' to each side of the equation. -8 + 8 + -6x = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = -14 + 8 -6x = -14 + 8 Combine like terms: -14 + 8 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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