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Simplifying 3x + 7 + 8x + -6 = 4x + 7 + -2 Reorder the terms: 7 + -6 + 3x + 8x = 4x + 7 + -2 Combine like terms: 7 + -6 = 1 1 + 3x + 8x = 4x + 7 + -2 Combine like terms: 3x + 8x = 11x 1 + 11x = 4x + 7 + -2 Reorder the terms: 1 + 11x = 7 + -2 + 4x Combine like terms: 7 + -2 = 5 1 + 11x = 5 + 4x Solving 1 + 11x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 11x + -4x = 5 + 4x + -4x Combine like terms: 11x + -4x = 7x 1 + 7x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 7x = 5 + 0 1 + 7x = 5 Add '-1' to each side of the equation. 1 + -1 + 7x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 5 + -1 7x = 5 + -1 Combine like terms: 5 + -1 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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