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Simplifying (x + -5) + -1(x + 2) = 3x Reorder the terms: (-5 + x) + -1(x + 2) = 3x Remove parenthesis around (-5 + x) -5 + x + -1(x + 2) = 3x Reorder the terms: -5 + x + -1(2 + x) = 3x -5 + x + (2 * -1 + x * -1) = 3x -5 + x + (-2 + -1x) = 3x Reorder the terms: -5 + -2 + x + -1x = 3x Combine like terms: -5 + -2 = -7 -7 + x + -1x = 3x Combine like terms: x + -1x = 0 -7 + 0 = 3x -7 = 3x Solving -7 = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -3x = 0 Add '7' to each side of the equation. -7 + 7 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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