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