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Simplifying 5x + 7 + 2x + 6 = 2x + 8 Reorder the terms: 7 + 6 + 5x + 2x = 2x + 8 Combine like terms: 7 + 6 = 13 13 + 5x + 2x = 2x + 8 Combine like terms: 5x + 2x = 7x 13 + 7x = 2x + 8 Reorder the terms: 13 + 7x = 8 + 2x Solving 13 + 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. 13 + 7x + -2x = 8 + 2x + -2x Combine like terms: 7x + -2x = 5x 13 + 5x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 5x = 8 + 0 13 + 5x = 8 Add '-13' to each side of the equation. 13 + -13 + 5x = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 8 + -13 5x = 8 + -13 Combine like terms: 8 + -13 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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