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Simplifying 5x + 4(5x + 1) = 7x + 19 Reorder the terms: 5x + 4(1 + 5x) = 7x + 19 5x + (1 * 4 + 5x * 4) = 7x + 19 5x + (4 + 20x) = 7x + 19 Reorder the terms: 4 + 5x + 20x = 7x + 19 Combine like terms: 5x + 20x = 25x 4 + 25x = 7x + 19 Reorder the terms: 4 + 25x = 19 + 7x Solving 4 + 25x = 19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 25x + -7x = 19 + 7x + -7x Combine like terms: 25x + -7x = 18x 4 + 18x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 18x = 19 + 0 4 + 18x = 19 Add '-4' to each side of the equation. 4 + -4 + 18x = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 18x = 19 + -4 18x = 19 + -4 Combine like terms: 19 + -4 = 15 18x = 15 Divide each side by '18'. x = 0.8333333333 Simplifying x = 0.8333333333
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