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Simplifying 6(5x + -7) + -12 = 6 Reorder the terms: 6(-7 + 5x) + -12 = 6 (-7 * 6 + 5x * 6) + -12 = 6 (-42 + 30x) + -12 = 6 Reorder the terms: -42 + -12 + 30x = 6 Combine like terms: -42 + -12 = -54 -54 + 30x = 6 Solving -54 + 30x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 30x = 6 + 54 Combine like terms: -54 + 54 = 0 0 + 30x = 6 + 54 30x = 6 + 54 Combine like terms: 6 + 54 = 60 30x = 60 Divide each side by '30'. x = 2 Simplifying x = 2
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