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Simplifying (1x + -7) + -1(2x + -4) = 17 Reorder the terms: (-7 + 1x) + -1(2x + -4) = 17 Remove parenthesis around (-7 + 1x) -7 + 1x + -1(2x + -4) = 17 Reorder the terms: -7 + 1x + -1(-4 + 2x) = 17 -7 + 1x + (-4 * -1 + 2x * -1) = 17 -7 + 1x + (4 + -2x) = 17 Reorder the terms: -7 + 4 + 1x + -2x = 17 Combine like terms: -7 + 4 = -3 -3 + 1x + -2x = 17 Combine like terms: 1x + -2x = -1x -3 + -1x = 17 Solving -3 + -1x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 17 + 3 -1x = 17 + 3 Combine like terms: 17 + 3 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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