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Simplifying 6x + 6(5 + -7x) = 12 6x + (5 * 6 + -7x * 6) = 12 6x + (30 + -42x) = 12 Reorder the terms: 30 + 6x + -42x = 12 Combine like terms: 6x + -42x = -36x 30 + -36x = 12 Solving 30 + -36x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -36x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -36x = 12 + -30 -36x = 12 + -30 Combine like terms: 12 + -30 = -18 -36x = -18 Divide each side by '-36'. x = 0.5 Simplifying x = 0.5
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