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Simplifying 5(5x + 7) = 19 + 7x Reorder the terms: 5(7 + 5x) = 19 + 7x (7 * 5 + 5x * 5) = 19 + 7x (35 + 25x) = 19 + 7x Solving 35 + 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. 35 + 25x + -7x = 19 + 7x + -7x Combine like terms: 25x + -7x = 18x 35 + 18x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + 18x = 19 + 0 35 + 18x = 19 Add '-35' to each side of the equation. 35 + -35 + 18x = 19 + -35 Combine like terms: 35 + -35 = 0 0 + 18x = 19 + -35 18x = 19 + -35 Combine like terms: 19 + -35 = -16 18x = -16 Divide each side by '18'. x = -0.8888888889 Simplifying x = -0.8888888889
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