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Simplifying 37 + 7x = 5(1 + -5x) 37 + 7x = (1 * 5 + -5x * 5) 37 + 7x = (5 + -25x) Solving 37 + 7x = 5 + -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. 37 + 7x + 25x = 5 + -25x + 25x Combine like terms: 7x + 25x = 32x 37 + 32x = 5 + -25x + 25x Combine like terms: -25x + 25x = 0 37 + 32x = 5 + 0 37 + 32x = 5 Add '-37' to each side of the equation. 37 + -37 + 32x = 5 + -37 Combine like terms: 37 + -37 = 0 0 + 32x = 5 + -37 32x = 5 + -37 Combine like terms: 5 + -37 = -32 32x = -32 Divide each side by '32'. x = -1 Simplifying x = -1
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