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Simplifying 5x + -1(x + -2) + -1(x + -2) = 27 Reorder the terms: 5x + -1(-2 + x) + -1(x + -2) = 27 5x + (-2 * -1 + x * -1) + -1(x + -2) = 27 5x + (2 + -1x) + -1(x + -2) = 27 Reorder the terms: 5x + 2 + -1x + -1(-2 + x) = 27 5x + 2 + -1x + (-2 * -1 + x * -1) = 27 5x + 2 + -1x + (2 + -1x) = 27 Reorder the terms: 2 + 2 + 5x + -1x + -1x = 27 Combine like terms: 2 + 2 = 4 4 + 5x + -1x + -1x = 27 Combine like terms: 5x + -1x = 4x 4 + 4x + -1x = 27 Combine like terms: 4x + -1x = 3x 4 + 3x = 27 Solving 4 + 3x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 27 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 27 + -4 3x = 27 + -4 Combine like terms: 27 + -4 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667
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