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Simplifying (7x + -6) + -1(4 + -3x) = 27 Reorder the terms: (-6 + 7x) + -1(4 + -3x) = 27 Remove parenthesis around (-6 + 7x) -6 + 7x + -1(4 + -3x) = 27 -6 + 7x + (4 * -1 + -3x * -1) = 27 -6 + 7x + (-4 + 3x) = 27 Reorder the terms: -6 + -4 + 7x + 3x = 27 Combine like terms: -6 + -4 = -10 -10 + 7x + 3x = 27 Combine like terms: 7x + 3x = 10x -10 + 10x = 27 Solving -10 + 10x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 10x = 27 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 27 + 10 10x = 27 + 10 Combine like terms: 27 + 10 = 37 10x = 37 Divide each side by '10'. x = 3.7 Simplifying x = 3.7
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