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Simplifying 3x + -5 = 2(1 + -2x) Reorder the terms: -5 + 3x = 2(1 + -2x) -5 + 3x = (1 * 2 + -2x * 2) -5 + 3x = (2 + -4x) Solving -5 + 3x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -5 + 3x + 4x = 2 + -4x + 4x Combine like terms: 3x + 4x = 7x -5 + 7x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 7x = 2 + 0 -5 + 7x = 2 Add '5' to each side of the equation. -5 + 5 + 7x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 2 + 5 7x = 2 + 5 Combine like terms: 2 + 5 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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