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Simplifying 4(1 + -0.5x) = -2(3 + 2x) (1 * 4 + -0.5x * 4) = -2(3 + 2x) (4 + -2x) = -2(3 + 2x) 4 + -2x = (3 * -2 + 2x * -2) 4 + -2x = (-6 + -4x) Solving 4 + -2x = -6 + -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. 4 + -2x + 4x = -6 + -4x + 4x Combine like terms: -2x + 4x = 2x 4 + 2x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 2x = -6 + 0 4 + 2x = -6 Add '-4' to each side of the equation. 4 + -4 + 2x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -6 + -4 2x = -6 + -4 Combine like terms: -6 + -4 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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