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Simplifying 5x + -8 + 2x + 2 = 3x + 6 + -1x + 2 Reorder the terms: -8 + 2 + 5x + 2x = 3x + 6 + -1x + 2 Combine like terms: -8 + 2 = -6 -6 + 5x + 2x = 3x + 6 + -1x + 2 Combine like terms: 5x + 2x = 7x -6 + 7x = 3x + 6 + -1x + 2 Reorder the terms: -6 + 7x = 6 + 2 + 3x + -1x Combine like terms: 6 + 2 = 8 -6 + 7x = 8 + 3x + -1x Combine like terms: 3x + -1x = 2x -6 + 7x = 8 + 2x Solving -6 + 7x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 7x + -2x = 8 + 2x + -2x Combine like terms: 7x + -2x = 5x -6 + 5x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 5x = 8 + 0 -6 + 5x = 8 Add '6' to each side of the equation. -6 + 6 + 5x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 8 + 6 5x = 8 + 6 Combine like terms: 8 + 6 = 14 5x = 14 Divide each side by '5'. x = 2.8 Simplifying x = 2.8
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