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