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Simplifying (1 + -1x) + -1(3 + x) = 7 Remove parenthesis around (1 + -1x) 1 + -1x + -1(3 + x) = 7 1 + -1x + (3 * -1 + x * -1) = 7 1 + -1x + (-3 + -1x) = 7 Reorder the terms: 1 + -3 + -1x + -1x = 7 Combine like terms: 1 + -3 = -2 -2 + -1x + -1x = 7 Combine like terms: -1x + -1x = -2x -2 + -2x = 7 Solving -2 + -2x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -2x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 7 + 2 -2x = 7 + 2 Combine like terms: 7 + 2 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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