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Simplifying 2(3x + 6) = 4(x + -1) Reorder the terms: 2(6 + 3x) = 4(x + -1) (6 * 2 + 3x * 2) = 4(x + -1) (12 + 6x) = 4(x + -1) Reorder the terms: 12 + 6x = 4(-1 + x) 12 + 6x = (-1 * 4 + x * 4) 12 + 6x = (-4 + 4x) Solving 12 + 6x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 6x + -4x = -4 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = -4 + 0 12 + 2x = -4 Add '-12' to each side of the equation. 12 + -12 + 2x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -4 + -12 2x = -4 + -12 Combine like terms: -4 + -12 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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