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Simplifying 2x + 4 + 5x = 6 + 3x + -4 Reorder the terms: 4 + 2x + 5x = 6 + 3x + -4 Combine like terms: 2x + 5x = 7x 4 + 7x = 6 + 3x + -4 Reorder the terms: 4 + 7x = 6 + -4 + 3x Combine like terms: 6 + -4 = 2 4 + 7x = 2 + 3x Solving 4 + 7x = 2 + 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 + 7x + -3x = 2 + 3x + -3x Combine like terms: 7x + -3x = 4x 4 + 4x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 4x = 2 + 0 4 + 4x = 2 Add '-4' to each side of the equation. 4 + -4 + 4x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 2 + -4 4x = 2 + -4 Combine like terms: 2 + -4 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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