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Simplifying 8x + 40 = 4(1 + 5x) Reorder the terms: 40 + 8x = 4(1 + 5x) 40 + 8x = (1 * 4 + 5x * 4) 40 + 8x = (4 + 20x) Solving 40 + 8x = 4 + 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. 40 + 8x + -20x = 4 + 20x + -20x Combine like terms: 8x + -20x = -12x 40 + -12x = 4 + 20x + -20x Combine like terms: 20x + -20x = 0 40 + -12x = 4 + 0 40 + -12x = 4 Add '-40' to each side of the equation. 40 + -40 + -12x = 4 + -40 Combine like terms: 40 + -40 = 0 0 + -12x = 4 + -40 -12x = 4 + -40 Combine like terms: 4 + -40 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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