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Simplifying 4(7x + 1) = 20x + 36 Reorder the terms: 4(1 + 7x) = 20x + 36 (1 * 4 + 7x * 4) = 20x + 36 (4 + 28x) = 20x + 36 Reorder the terms: 4 + 28x = 36 + 20x Solving 4 + 28x = 36 + 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. 4 + 28x + -20x = 36 + 20x + -20x Combine like terms: 28x + -20x = 8x 4 + 8x = 36 + 20x + -20x Combine like terms: 20x + -20x = 0 4 + 8x = 36 + 0 4 + 8x = 36 Add '-4' to each side of the equation. 4 + -4 + 8x = 36 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 36 + -4 8x = 36 + -4 Combine like terms: 36 + -4 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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