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Simplifying 5(-3 + 4x) = 4(2x + 4) + 2x (-3 * 5 + 4x * 5) = 4(2x + 4) + 2x (-15 + 20x) = 4(2x + 4) + 2x Reorder the terms: -15 + 20x = 4(4 + 2x) + 2x -15 + 20x = (4 * 4 + 2x * 4) + 2x -15 + 20x = (16 + 8x) + 2x Combine like terms: 8x + 2x = 10x -15 + 20x = 16 + 10x Solving -15 + 20x = 16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -15 + 20x + -10x = 16 + 10x + -10x Combine like terms: 20x + -10x = 10x -15 + 10x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + 10x = 16 + 0 -15 + 10x = 16 Add '15' to each side of the equation. -15 + 15 + 10x = 16 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 16 + 15 10x = 16 + 15 Combine like terms: 16 + 15 = 31 10x = 31 Divide each side by '10'. x = 3.1 Simplifying x = 3.1
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