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Simplifying 5x + -1(6x + 7) = 4x + -27 Reorder the terms: 5x + -1(7 + 6x) = 4x + -27 5x + (7 * -1 + 6x * -1) = 4x + -27 5x + (-7 + -6x) = 4x + -27 Reorder the terms: -7 + 5x + -6x = 4x + -27 Combine like terms: 5x + -6x = -1x -7 + -1x = 4x + -27 Reorder the terms: -7 + -1x = -27 + 4x Solving -7 + -1x = -27 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + -1x + -4x = -27 + 4x + -4x Combine like terms: -1x + -4x = -5x -7 + -5x = -27 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -5x = -27 + 0 -7 + -5x = -27 Add '7' to each side of the equation. -7 + 7 + -5x = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -27 + 7 -5x = -27 + 7 Combine like terms: -27 + 7 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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