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Simplifying (2x + -6) + -1(8x + 4) = 7 Reorder the terms: (-6 + 2x) + -1(8x + 4) = 7 Remove parenthesis around (-6 + 2x) -6 + 2x + -1(8x + 4) = 7 Reorder the terms: -6 + 2x + -1(4 + 8x) = 7 -6 + 2x + (4 * -1 + 8x * -1) = 7 -6 + 2x + (-4 + -8x) = 7 Reorder the terms: -6 + -4 + 2x + -8x = 7 Combine like terms: -6 + -4 = -10 -10 + 2x + -8x = 7 Combine like terms: 2x + -8x = -6x -10 + -6x = 7 Solving -10 + -6x = 7 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 + -6x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 7 + 10 -6x = 7 + 10 Combine like terms: 7 + 10 = 17 -6x = 17 Divide each side by '-6'. x = -2.833333333 Simplifying x = -2.833333333
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