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Simplifying 2(x + 1) = 8(x + 7) Reorder the terms: 2(1 + x) = 8(x + 7) (1 * 2 + x * 2) = 8(x + 7) (2 + 2x) = 8(x + 7) Reorder the terms: 2 + 2x = 8(7 + x) 2 + 2x = (7 * 8 + x * 8) 2 + 2x = (56 + 8x) Solving 2 + 2x = 56 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 2x + -8x = 56 + 8x + -8x Combine like terms: 2x + -8x = -6x 2 + -6x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -6x = 56 + 0 2 + -6x = 56 Add '-2' to each side of the equation. 2 + -2 + -6x = 56 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 56 + -2 -6x = 56 + -2 Combine like terms: 56 + -2 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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