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Simplifying -2(2x + 3) + -4 = -2(4x + -5) Reorder the terms: -2(3 + 2x) + -4 = -2(4x + -5) (3 * -2 + 2x * -2) + -4 = -2(4x + -5) (-6 + -4x) + -4 = -2(4x + -5) Reorder the terms: -6 + -4 + -4x = -2(4x + -5) Combine like terms: -6 + -4 = -10 -10 + -4x = -2(4x + -5) Reorder the terms: -10 + -4x = -2(-5 + 4x) -10 + -4x = (-5 * -2 + 4x * -2) -10 + -4x = (10 + -8x) Solving -10 + -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. -10 + -4x + 8x = 10 + -8x + 8x Combine like terms: -4x + 8x = 4x -10 + 4x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 4x = 10 + 0 -10 + 4x = 10 Add '10' to each side of the equation. -10 + 10 + 4x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 10 + 10 4x = 10 + 10 Combine like terms: 10 + 10 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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