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Simplifying 5x + 3x + 6 + -2 = 7x + 6 Reorder the terms: 6 + -2 + 5x + 3x = 7x + 6 Combine like terms: 6 + -2 = 4 4 + 5x + 3x = 7x + 6 Combine like terms: 5x + 3x = 8x 4 + 8x = 7x + 6 Reorder the terms: 4 + 8x = 6 + 7x Solving 4 + 8x = 6 + 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. 4 + 8x + -7x = 6 + 7x + -7x Combine like terms: 8x + -7x = 1x 4 + 1x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 1x = 6 + 0 4 + 1x = 6 Add '-4' to each side of the equation. 4 + -4 + 1x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 6 + -4 1x = 6 + -4 Combine like terms: 6 + -4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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