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Simplifying 7x + -1(6x + 2) = 6x + -27 Reorder the terms: 7x + -1(2 + 6x) = 6x + -27 7x + (2 * -1 + 6x * -1) = 6x + -27 7x + (-2 + -6x) = 6x + -27 Reorder the terms: -2 + 7x + -6x = 6x + -27 Combine like terms: 7x + -6x = 1x -2 + 1x = 6x + -27 Reorder the terms: -2 + 1x = -27 + 6x Solving -2 + 1x = -27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 1x + -6x = -27 + 6x + -6x Combine like terms: 1x + -6x = -5x -2 + -5x = -27 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -5x = -27 + 0 -2 + -5x = -27 Add '2' to each side of the equation. -2 + 2 + -5x = -27 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -27 + 2 -5x = -27 + 2 Combine like terms: -27 + 2 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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