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Simplifying 37 = 5x + -8(-2 + -2x) 37 = 5x + (-2 * -8 + -2x * -8) 37 = 5x + (16 + 16x) Reorder the terms: 37 = 16 + 5x + 16x Combine like terms: 5x + 16x = 21x 37 = 16 + 21x Solving 37 = 16 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 37 + -21x = 16 + 21x + -21x Combine like terms: 21x + -21x = 0 37 + -21x = 16 + 0 37 + -21x = 16 Add '-37' to each side of the equation. 37 + -37 + -21x = 16 + -37 Combine like terms: 37 + -37 = 0 0 + -21x = 16 + -37 -21x = 16 + -37 Combine like terms: 16 + -37 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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