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Simplifying 6(1 + -2x) = 5x + 6 (1 * 6 + -2x * 6) = 5x + 6 (6 + -12x) = 5x + 6 Reorder the terms: 6 + -12x = 6 + 5x Add '-6' to each side of the equation. 6 + -6 + -12x = 6 + -6 + 5x Combine like terms: 6 + -6 = 0 0 + -12x = 6 + -6 + 5x -12x = 6 + -6 + 5x Combine like terms: 6 + -6 = 0 -12x = 0 + 5x -12x = 5x Solving -12x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12x + -5x = 5x + -5x Combine like terms: -12x + -5x = -17x -17x = 5x + -5x Combine like terms: 5x + -5x = 0 -17x = 0 Divide each side by '-17'. x = 0 Simplifying x = 0
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