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Simplifying 6(2 + 2x) = 7(x + -1) (2 * 6 + 2x * 6) = 7(x + -1) (12 + 12x) = 7(x + -1) Reorder the terms: 12 + 12x = 7(-1 + x) 12 + 12x = (-1 * 7 + x * 7) 12 + 12x = (-7 + 7x) Solving 12 + 12x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 12x + -7x = -7 + 7x + -7x Combine like terms: 12x + -7x = 5x 12 + 5x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 5x = -7 + 0 12 + 5x = -7 Add '-12' to each side of the equation. 12 + -12 + 5x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = -7 + -12 5x = -7 + -12 Combine like terms: -7 + -12 = -19 5x = -19 Divide each side by '5'. x = -3.8 Simplifying x = -3.8
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