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Simplifying 4x + -5 + -2x = 2 + -1(1 + -1x) Reorder the terms: -5 + 4x + -2x = 2 + -1(1 + -1x) Combine like terms: 4x + -2x = 2x -5 + 2x = 2 + -1(1 + -1x) -5 + 2x = 2 + (1 * -1 + -1x * -1) -5 + 2x = 2 + (-1 + 1x) Combine like terms: 2 + -1 = 1 -5 + 2x = 1 + 1x Solving -5 + 2x = 1 + 1x 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. -5 + 2x + -1x = 1 + 1x + -1x Combine like terms: 2x + -1x = 1x -5 + 1x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + 1x = 1 + 0 -5 + 1x = 1 Add '5' to each side of the equation. -5 + 5 + 1x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 1 + 5 1x = 1 + 5 Combine like terms: 1 + 5 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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