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Simplifying 1 + -6(2(3x + 2) + -4x) = 7(1 + -2x) Reorder the terms: 1 + -6(2(2 + 3x) + -4x) = 7(1 + -2x) 1 + -6((2 * 2 + 3x * 2) + -4x) = 7(1 + -2x) 1 + -6((4 + 6x) + -4x) = 7(1 + -2x) Combine like terms: 6x + -4x = 2x 1 + -6(4 + 2x) = 7(1 + -2x) 1 + (4 * -6 + 2x * -6) = 7(1 + -2x) 1 + (-24 + -12x) = 7(1 + -2x) Combine like terms: 1 + -24 = -23 -23 + -12x = 7(1 + -2x) -23 + -12x = (1 * 7 + -2x * 7) -23 + -12x = (7 + -14x) Solving -23 + -12x = 7 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -23 + -12x + 14x = 7 + -14x + 14x Combine like terms: -12x + 14x = 2x -23 + 2x = 7 + -14x + 14x Combine like terms: -14x + 14x = 0 -23 + 2x = 7 + 0 -23 + 2x = 7 Add '23' to each side of the equation. -23 + 23 + 2x = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = 7 + 23 2x = 7 + 23 Combine like terms: 7 + 23 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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