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Simplifying 6(2 + -3x) + 8 = 2 + -9x (2 * 6 + -3x * 6) + 8 = 2 + -9x (12 + -18x) + 8 = 2 + -9x Reorder the terms: 12 + 8 + -18x = 2 + -9x Combine like terms: 12 + 8 = 20 20 + -18x = 2 + -9x Solving 20 + -18x = 2 + -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. 20 + -18x + 9x = 2 + -9x + 9x Combine like terms: -18x + 9x = -9x 20 + -9x = 2 + -9x + 9x Combine like terms: -9x + 9x = 0 20 + -9x = 2 + 0 20 + -9x = 2 Add '-20' to each side of the equation. 20 + -20 + -9x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -9x = 2 + -20 -9x = 2 + -20 Combine like terms: 2 + -20 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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