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Simplifying (3x + -4) + -1(x + -5) = x Reorder the terms: (-4 + 3x) + -1(x + -5) = x Remove parenthesis around (-4 + 3x) -4 + 3x + -1(x + -5) = x Reorder the terms: -4 + 3x + -1(-5 + x) = x -4 + 3x + (-5 * -1 + x * -1) = x -4 + 3x + (5 + -1x) = x Reorder the terms: -4 + 5 + 3x + -1x = x Combine like terms: -4 + 5 = 1 1 + 3x + -1x = x Combine like terms: 3x + -1x = 2x 1 + 2x = x Solving 1 + 2x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 2x + -1x = x + -1x Combine like terms: 2x + -1x = 1x 1 + 1x = x + -1x Combine like terms: x + -1x = 0 1 + 1x = 0 Add '-1' to each side of the equation. 1 + -1 + 1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 0 + -1 1x = 0 + -1 Combine like terms: 0 + -1 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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