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Simplifying 7(1 + 2x) = 6(2x + -6) (1 * 7 + 2x * 7) = 6(2x + -6) (7 + 14x) = 6(2x + -6) Reorder the terms: 7 + 14x = 6(-6 + 2x) 7 + 14x = (-6 * 6 + 2x * 6) 7 + 14x = (-36 + 12x) Solving 7 + 14x = -36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 14x + -12x = -36 + 12x + -12x Combine like terms: 14x + -12x = 2x 7 + 2x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + 2x = -36 + 0 7 + 2x = -36 Add '-7' to each side of the equation. 7 + -7 + 2x = -36 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -36 + -7 2x = -36 + -7 Combine like terms: -36 + -7 = -43 2x = -43 Divide each side by '2'. x = -21.5 Simplifying x = -21.5
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