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Simplifying 3(4x + -5) + 4(2x + 1) = 49 Reorder the terms: 3(-5 + 4x) + 4(2x + 1) = 49 (-5 * 3 + 4x * 3) + 4(2x + 1) = 49 (-15 + 12x) + 4(2x + 1) = 49 Reorder the terms: -15 + 12x + 4(1 + 2x) = 49 -15 + 12x + (1 * 4 + 2x * 4) = 49 -15 + 12x + (4 + 8x) = 49 Reorder the terms: -15 + 4 + 12x + 8x = 49 Combine like terms: -15 + 4 = -11 -11 + 12x + 8x = 49 Combine like terms: 12x + 8x = 20x -11 + 20x = 49 Solving -11 + 20x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 20x = 49 + 11 Combine like terms: -11 + 11 = 0 0 + 20x = 49 + 11 20x = 49 + 11 Combine like terms: 49 + 11 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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