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Simplifying 6(1 + 6x) + 6x = -3x + 6 (1 * 6 + 6x * 6) + 6x = -3x + 6 (6 + 36x) + 6x = -3x + 6 Combine like terms: 36x + 6x = 42x 6 + 42x = -3x + 6 Reorder the terms: 6 + 42x = 6 + -3x Add '-6' to each side of the equation. 6 + -6 + 42x = 6 + -6 + -3x Combine like terms: 6 + -6 = 0 0 + 42x = 6 + -6 + -3x 42x = 6 + -6 + -3x Combine like terms: 6 + -6 = 0 42x = 0 + -3x 42x = -3x Solving 42x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 42x + 3x = -3x + 3x Combine like terms: 42x + 3x = 45x 45x = -3x + 3x Combine like terms: -3x + 3x = 0 45x = 0 Divide each side by '45'. x = 0 Simplifying x = 0
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