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Simplifying 2.7x + -1(-1(x + -9) + -1(2x + 1)) = 27 Reorder the terms: 2.7x + -1(-1(-9 + x) + -1(2x + 1)) = 27 2.7x + -1((-9 * -1 + x * -1) + -1(2x + 1)) = 27 2.7x + -1((9 + -1x) + -1(2x + 1)) = 27 Reorder the terms: 2.7x + -1(9 + -1x + -1(1 + 2x)) = 27 2.7x + -1(9 + -1x + (1 * -1 + 2x * -1)) = 27 2.7x + -1(9 + -1x + (-1 + -2x)) = 27 Reorder the terms: 2.7x + -1(9 + -1 + -1x + -2x) = 27 Combine like terms: 9 + -1 = 8 2.7x + -1(8 + -1x + -2x) = 27 Combine like terms: -1x + -2x = -3x 2.7x + -1(8 + -3x) = 27 2.7x + (8 * -1 + -3x * -1) = 27 2.7x + (-8 + 3x) = 27 Reorder the terms: -8 + 2.7x + 3x = 27 Combine like terms: 2.7x + 3x = 5.7x -8 + 5.7x = 27 Solving -8 + 5.7x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5.7x = 27 + 8 Combine like terms: -8 + 8 = 0 0 + 5.7x = 27 + 8 5.7x = 27 + 8 Combine like terms: 27 + 8 = 35 5.7x = 35 Divide each side by '5.7'. x = 6.140350877 Simplifying x = 6.140350877
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