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Simplifying 2x + -7 + 8x = 3x + 77 + -7x Reorder the terms: -7 + 2x + 8x = 3x + 77 + -7x Combine like terms: 2x + 8x = 10x -7 + 10x = 3x + 77 + -7x Reorder the terms: -7 + 10x = 77 + 3x + -7x Combine like terms: 3x + -7x = -4x -7 + 10x = 77 + -4x Solving -7 + 10x = 77 + -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. -7 + 10x + 4x = 77 + -4x + 4x Combine like terms: 10x + 4x = 14x -7 + 14x = 77 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 14x = 77 + 0 -7 + 14x = 77 Add '7' to each side of the equation. -7 + 7 + 14x = 77 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = 77 + 7 14x = 77 + 7 Combine like terms: 77 + 7 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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