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Simplifying 2x + -5(1 + -1x) = 1 + -3(1 + -2x) 2x + (1 * -5 + -1x * -5) = 1 + -3(1 + -2x) 2x + (-5 + 5x) = 1 + -3(1 + -2x) Reorder the terms: -5 + 2x + 5x = 1 + -3(1 + -2x) Combine like terms: 2x + 5x = 7x -5 + 7x = 1 + -3(1 + -2x) -5 + 7x = 1 + (1 * -3 + -2x * -3) -5 + 7x = 1 + (-3 + 6x) Combine like terms: 1 + -3 = -2 -5 + 7x = -2 + 6x Solving -5 + 7x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 7x + -6x = -2 + 6x + -6x Combine like terms: 7x + -6x = 1x -5 + 1x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 1x = -2 + 0 -5 + 1x = -2 Add '5' to each side of the equation. -5 + 5 + 1x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -2 + 5 1x = -2 + 5 Combine like terms: -2 + 5 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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