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