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Simplifying 3x + 22 + -5 = 5(5x + 7) Reorder the terms: 22 + -5 + 3x = 5(5x + 7) Combine like terms: 22 + -5 = 17 17 + 3x = 5(5x + 7) Reorder the terms: 17 + 3x = 5(7 + 5x) 17 + 3x = (7 * 5 + 5x * 5) 17 + 3x = (35 + 25x) Solving 17 + 3x = 35 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 17 + 3x + -25x = 35 + 25x + -25x Combine like terms: 3x + -25x = -22x 17 + -22x = 35 + 25x + -25x Combine like terms: 25x + -25x = 0 17 + -22x = 35 + 0 17 + -22x = 35 Add '-17' to each side of the equation. 17 + -17 + -22x = 35 + -17 Combine like terms: 17 + -17 = 0 0 + -22x = 35 + -17 -22x = 35 + -17 Combine like terms: 35 + -17 = 18 -22x = 18 Divide each side by '-22'. x = -0.8181818182 Simplifying x = -0.8181818182
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