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Simplifying 6x + -5(x + -1) = 5 + -7 Reorder the terms: 6x + -5(-1 + x) = 5 + -7 6x + (-1 * -5 + x * -5) = 5 + -7 6x + (5 + -5x) = 5 + -7 Reorder the terms: 5 + 6x + -5x = 5 + -7 Combine like terms: 6x + -5x = 1x 5 + 1x = 5 + -7 Combine like terms: 5 + -7 = -2 5 + 1x = -2 Solving 5 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -2 + -5 1x = -2 + -5 Combine like terms: -2 + -5 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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