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Simplifying 2(4 + -3x) = -4(2x + 3) (4 * 2 + -3x * 2) = -4(2x + 3) (8 + -6x) = -4(2x + 3) Reorder the terms: 8 + -6x = -4(3 + 2x) 8 + -6x = (3 * -4 + 2x * -4) 8 + -6x = (-12 + -8x) Solving 8 + -6x = -12 + -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. 8 + -6x + 8x = -12 + -8x + 8x Combine like terms: -6x + 8x = 2x 8 + 2x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 2x = -12 + 0 8 + 2x = -12 Add '-8' to each side of the equation. 8 + -8 + 2x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -12 + -8 2x = -12 + -8 Combine like terms: -12 + -8 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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