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Simplifying 20x + -5(1 + x) = 5(4x + -4) + -40 20x + (1 * -5 + x * -5) = 5(4x + -4) + -40 20x + (-5 + -5x) = 5(4x + -4) + -40 Reorder the terms: -5 + 20x + -5x = 5(4x + -4) + -40 Combine like terms: 20x + -5x = 15x -5 + 15x = 5(4x + -4) + -40 Reorder the terms: -5 + 15x = 5(-4 + 4x) + -40 -5 + 15x = (-4 * 5 + 4x * 5) + -40 -5 + 15x = (-20 + 20x) + -40 Reorder the terms: -5 + 15x = -20 + -40 + 20x Combine like terms: -20 + -40 = -60 -5 + 15x = -60 + 20x Solving -5 + 15x = -60 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -5 + 15x + -20x = -60 + 20x + -20x Combine like terms: 15x + -20x = -5x -5 + -5x = -60 + 20x + -20x Combine like terms: 20x + -20x = 0 -5 + -5x = -60 + 0 -5 + -5x = -60 Add '5' to each side of the equation. -5 + 5 + -5x = -60 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -60 + 5 -5x = -60 + 5 Combine like terms: -60 + 5 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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