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Simplifying 2(4 + 2) = 4x + -12(x + -1) Combine like terms: 4 + 2 = 6 2(6) = 4x + -12(x + -1) Multiply 2 * 6 12 = 4x + -12(x + -1) Reorder the terms: 12 = 4x + -12(-1 + x) 12 = 4x + (-1 * -12 + x * -12) 12 = 4x + (12 + -12x) Reorder the terms: 12 = 12 + 4x + -12x Combine like terms: 4x + -12x = -8x 12 = 12 + -8x Add '-12' to each side of the equation. 12 + -12 = 12 + -12 + -8x Combine like terms: 12 + -12 = 0 0 = 12 + -12 + -8x Combine like terms: 12 + -12 = 0 0 = 0 + -8x 0 = -8x Solving 0 = -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. 0 + 8x = -8x + 8x Remove the zero: 8x = -8x + 8x Combine like terms: -8x + 8x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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