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Simplifying 2x + 6(x + 1) + 2 = 8 + -5x Reorder the terms: 2x + 6(1 + x) + 2 = 8 + -5x 2x + (1 * 6 + x * 6) + 2 = 8 + -5x 2x + (6 + 6x) + 2 = 8 + -5x Reorder the terms: 6 + 2 + 2x + 6x = 8 + -5x Combine like terms: 6 + 2 = 8 8 + 2x + 6x = 8 + -5x Combine like terms: 2x + 6x = 8x 8 + 8x = 8 + -5x Add '-8' to each side of the equation. 8 + -8 + 8x = 8 + -8 + -5x Combine like terms: 8 + -8 = 0 0 + 8x = 8 + -8 + -5x 8x = 8 + -8 + -5x Combine like terms: 8 + -8 = 0 8x = 0 + -5x 8x = -5x Solving 8x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8x + 5x = -5x + 5x Combine like terms: 8x + 5x = 13x 13x = -5x + 5x Combine like terms: -5x + 5x = 0 13x = 0 Divide each side by '13'. x = 0 Simplifying x = 0
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