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Simplifying 6(3x + 2) = 2x + -5 + -20x + -7 Reorder the terms: 6(2 + 3x) = 2x + -5 + -20x + -7 (2 * 6 + 3x * 6) = 2x + -5 + -20x + -7 (12 + 18x) = 2x + -5 + -20x + -7 Reorder the terms: 12 + 18x = -5 + -7 + 2x + -20x Combine like terms: -5 + -7 = -12 12 + 18x = -12 + 2x + -20x Combine like terms: 2x + -20x = -18x 12 + 18x = -12 + -18x Solving 12 + 18x = -12 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 12 + 18x + 18x = -12 + -18x + 18x Combine like terms: 18x + 18x = 36x 12 + 36x = -12 + -18x + 18x Combine like terms: -18x + 18x = 0 12 + 36x = -12 + 0 12 + 36x = -12 Add '-12' to each side of the equation. 12 + -12 + 36x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 36x = -12 + -12 36x = -12 + -12 Combine like terms: -12 + -12 = -24 36x = -24 Divide each side by '36'. x = -0.6666666667 Simplifying x = -0.6666666667
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