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Simplifying 7x + 6 + x = 5 + 3x + -4 Reorder the terms: 6 + 7x + x = 5 + 3x + -4 Combine like terms: 7x + x = 8x 6 + 8x = 5 + 3x + -4 Reorder the terms: 6 + 8x = 5 + -4 + 3x Combine like terms: 5 + -4 = 1 6 + 8x = 1 + 3x Solving 6 + 8x = 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. 6 + 8x + -3x = 1 + 3x + -3x Combine like terms: 8x + -3x = 5x 6 + 5x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 5x = 1 + 0 6 + 5x = 1 Add '-6' to each side of the equation. 6 + -6 + 5x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 1 + -6 5x = 1 + -6 Combine like terms: 1 + -6 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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