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Simplifying -4(1 + 11x) + 2(1 + 12x) = 3 + 4x + x + -5 (1 * -4 + 11x * -4) + 2(1 + 12x) = 3 + 4x + x + -5 (-4 + -44x) + 2(1 + 12x) = 3 + 4x + x + -5 -4 + -44x + (1 * 2 + 12x * 2) = 3 + 4x + x + -5 -4 + -44x + (2 + 24x) = 3 + 4x + x + -5 Reorder the terms: -4 + 2 + -44x + 24x = 3 + 4x + x + -5 Combine like terms: -4 + 2 = -2 -2 + -44x + 24x = 3 + 4x + x + -5 Combine like terms: -44x + 24x = -20x -2 + -20x = 3 + 4x + x + -5 Reorder the terms: -2 + -20x = 3 + -5 + 4x + x Combine like terms: 3 + -5 = -2 -2 + -20x = -2 + 4x + x Combine like terms: 4x + x = 5x -2 + -20x = -2 + 5x Add '2' to each side of the equation. -2 + 2 + -20x = -2 + 2 + 5x Combine like terms: -2 + 2 = 0 0 + -20x = -2 + 2 + 5x -20x = -2 + 2 + 5x Combine like terms: -2 + 2 = 0 -20x = 0 + 5x -20x = 5x Solving -20x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20x + -5x = 5x + -5x Combine like terms: -20x + -5x = -25x -25x = 5x + -5x Combine like terms: 5x + -5x = 0 -25x = 0 Divide each side by '-25'. x = 0 Simplifying x = 0
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