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Simplifying (x + -5) + -1(x + 2) = 7x Reorder the terms: (-5 + x) + -1(x + 2) = 7x Remove parenthesis around (-5 + x) -5 + x + -1(x + 2) = 7x Reorder the terms: -5 + x + -1(2 + x) = 7x -5 + x + (2 * -1 + x * -1) = 7x -5 + x + (-2 + -1x) = 7x Reorder the terms: -5 + -2 + x + -1x = 7x Combine like terms: -5 + -2 = -7 -7 + x + -1x = 7x Combine like terms: x + -1x = 0 -7 + 0 = 7x -7 = 7x Solving -7 = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -7x = 0 Add '7' to each side of the equation. -7 + 7 + -7x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = 0 + 7 -7x = 0 + 7 Combine like terms: 0 + 7 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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