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Simplifying -2(2x + -3) = 2(5 + -4x) Reorder the terms: -2(-3 + 2x) = 2(5 + -4x) (-3 * -2 + 2x * -2) = 2(5 + -4x) (6 + -4x) = 2(5 + -4x) 6 + -4x = (5 * 2 + -4x * 2) 6 + -4x = (10 + -8x) Solving 6 + -4x = 10 + -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. 6 + -4x + 8x = 10 + -8x + 8x Combine like terms: -4x + 8x = 4x 6 + 4x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 4x = 10 + 0 6 + 4x = 10 Add '-6' to each side of the equation. 6 + -6 + 4x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 10 + -6 4x = 10 + -6 Combine like terms: 10 + -6 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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