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Simplifying x + 4 + -3x = 6 + -7x + 8 Reorder the terms: 4 + x + -3x = 6 + -7x + 8 Combine like terms: x + -3x = -2x 4 + -2x = 6 + -7x + 8 Reorder the terms: 4 + -2x = 6 + 8 + -7x Combine like terms: 6 + 8 = 14 4 + -2x = 14 + -7x Solving 4 + -2x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + -2x + 7x = 14 + -7x + 7x Combine like terms: -2x + 7x = 5x 4 + 5x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 5x = 14 + 0 4 + 5x = 14 Add '-4' to each side of the equation. 4 + -4 + 5x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 14 + -4 5x = 14 + -4 Combine like terms: 14 + -4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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