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Simplifying 7(x + 2) = 1 + -2(1 + -4x) Reorder the terms: 7(2 + x) = 1 + -2(1 + -4x) (2 * 7 + x * 7) = 1 + -2(1 + -4x) (14 + 7x) = 1 + -2(1 + -4x) 14 + 7x = 1 + (1 * -2 + -4x * -2) 14 + 7x = 1 + (-2 + 8x) Combine like terms: 1 + -2 = -1 14 + 7x = -1 + 8x Solving 14 + 7x = -1 + 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. 14 + 7x + -8x = -1 + 8x + -8x Combine like terms: 7x + -8x = -1x 14 + -1x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -1x = -1 + 0 14 + -1x = -1 Add '-14' to each side of the equation. 14 + -14 + -1x = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -1 + -14 -1x = -1 + -14 Combine like terms: -1 + -14 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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