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Simplifying 6x + -1(7x + 12) = -7x + 60 Reorder the terms: 6x + -1(12 + 7x) = -7x + 60 6x + (12 * -1 + 7x * -1) = -7x + 60 6x + (-12 + -7x) = -7x + 60 Reorder the terms: -12 + 6x + -7x = -7x + 60 Combine like terms: 6x + -7x = -1x -12 + -1x = -7x + 60 Reorder the terms: -12 + -1x = 60 + -7x Solving -12 + -1x = 60 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12 + -1x + 7x = 60 + -7x + 7x Combine like terms: -1x + 7x = 6x -12 + 6x = 60 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 6x = 60 + 0 -12 + 6x = 60 Add '12' to each side of the equation. -12 + 12 + 6x = 60 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 60 + 12 6x = 60 + 12 Combine like terms: 60 + 12 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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