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Simplifying 5(4x + -3) = 4(2x + 4) Reorder the terms: 5(-3 + 4x) = 4(2x + 4) (-3 * 5 + 4x * 5) = 4(2x + 4) (-15 + 20x) = 4(2x + 4) Reorder the terms: -15 + 20x = 4(4 + 2x) -15 + 20x = (4 * 4 + 2x * 4) -15 + 20x = (16 + 8x) Solving -15 + 20x = 16 + 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. -15 + 20x + -8x = 16 + 8x + -8x Combine like terms: 20x + -8x = 12x -15 + 12x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 12x = 16 + 0 -15 + 12x = 16 Add '15' to each side of the equation. -15 + 15 + 12x = 16 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 16 + 15 12x = 16 + 15 Combine like terms: 16 + 15 = 31 12x = 31 Divide each side by '12'. x = 2.583333333 Simplifying x = 2.583333333
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