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Simplifying 2x + -4 = -5x + 2(x + 3) Reorder the terms: -4 + 2x = -5x + 2(x + 3) Reorder the terms: -4 + 2x = -5x + 2(3 + x) -4 + 2x = -5x + (3 * 2 + x * 2) -4 + 2x = -5x + (6 + 2x) Reorder the terms: -4 + 2x = 6 + -5x + 2x Combine like terms: -5x + 2x = -3x -4 + 2x = 6 + -3x Solving -4 + 2x = 6 + -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 = 6 + -3x + 3x Combine like terms: 2x + 3x = 5x -4 + 5x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 5x = 6 + 0 -4 + 5x = 6 Add '4' to each side of the equation. -4 + 4 + 5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 6 + 4 5x = 6 + 4 Combine like terms: 6 + 4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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