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Simplifying 4(2x + -5) = 2x + -8 + 2x Reorder the terms: 4(-5 + 2x) = 2x + -8 + 2x (-5 * 4 + 2x * 4) = 2x + -8 + 2x (-20 + 8x) = 2x + -8 + 2x Reorder the terms: -20 + 8x = -8 + 2x + 2x Combine like terms: 2x + 2x = 4x -20 + 8x = -8 + 4x Solving -20 + 8x = -8 + 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. -20 + 8x + -4x = -8 + 4x + -4x Combine like terms: 8x + -4x = 4x -20 + 4x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 4x = -8 + 0 -20 + 4x = -8 Add '20' to each side of the equation. -20 + 20 + 4x = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -8 + 20 4x = -8 + 20 Combine like terms: -8 + 20 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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