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Simplifying 4(3x + 2) = 2(2x + -1) Reorder the terms: 4(2 + 3x) = 2(2x + -1) (2 * 4 + 3x * 4) = 2(2x + -1) (8 + 12x) = 2(2x + -1) Reorder the terms: 8 + 12x = 2(-1 + 2x) 8 + 12x = (-1 * 2 + 2x * 2) 8 + 12x = (-2 + 4x) Solving 8 + 12x = -2 + 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. 8 + 12x + -4x = -2 + 4x + -4x Combine like terms: 12x + -4x = 8x 8 + 8x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 8x = -2 + 0 8 + 8x = -2 Add '-8' to each side of the equation. 8 + -8 + 8x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = -2 + -8 8x = -2 + -8 Combine like terms: -2 + -8 = -10 8x = -10 Divide each side by '8'. x = -1.25 Simplifying x = -1.25
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