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Simplifying 4x + -3 + 6x + 2 = 7x + 8 Reorder the terms: -3 + 2 + 4x + 6x = 7x + 8 Combine like terms: -3 + 2 = -1 -1 + 4x + 6x = 7x + 8 Combine like terms: 4x + 6x = 10x -1 + 10x = 7x + 8 Reorder the terms: -1 + 10x = 8 + 7x Solving -1 + 10x = 8 + 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. -1 + 10x + -7x = 8 + 7x + -7x Combine like terms: 10x + -7x = 3x -1 + 3x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 3x = 8 + 0 -1 + 3x = 8 Add '1' to each side of the equation. -1 + 1 + 3x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 8 + 1 3x = 8 + 1 Combine like terms: 8 + 1 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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