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Simplifying 7(1 + 2x) = -1 + 6x (1 * 7 + 2x * 7) = -1 + 6x (7 + 14x) = -1 + 6x Solving 7 + 14x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 14x + -6x = -1 + 6x + -6x Combine like terms: 14x + -6x = 8x 7 + 8x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 8x = -1 + 0 7 + 8x = -1 Add '-7' to each side of the equation. 7 + -7 + 8x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = -1 + -7 8x = -1 + -7 Combine like terms: -1 + -7 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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