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Simplifying 2x + -5(1 + -1x) = -1x + -3(1 + -1x) 2x + (1 * -5 + -1x * -5) = -1x + -3(1 + -1x) 2x + (-5 + 5x) = -1x + -3(1 + -1x) Reorder the terms: -5 + 2x + 5x = -1x + -3(1 + -1x) Combine like terms: 2x + 5x = 7x -5 + 7x = -1x + -3(1 + -1x) -5 + 7x = -1x + (1 * -3 + -1x * -3) -5 + 7x = -1x + (-3 + 3x) Reorder the terms: -5 + 7x = -3 + -1x + 3x Combine like terms: -1x + 3x = 2x -5 + 7x = -3 + 2x Solving -5 + 7x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 7x + -2x = -3 + 2x + -2x Combine like terms: 7x + -2x = 5x -5 + 5x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 5x = -3 + 0 -5 + 5x = -3 Add '5' to each side of the equation. -5 + 5 + 5x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = -3 + 5 5x = -3 + 5 Combine like terms: -3 + 5 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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