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Simplifying 37 + -4x = 6 + -1(8x + 1) Reorder the terms: 37 + -4x = 6 + -1(1 + 8x) 37 + -4x = 6 + (1 * -1 + 8x * -1) 37 + -4x = 6 + (-1 + -8x) Combine like terms: 6 + -1 = 5 37 + -4x = 5 + -8x Solving 37 + -4x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 37 + -4x + 8x = 5 + -8x + 8x Combine like terms: -4x + 8x = 4x 37 + 4x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 37 + 4x = 5 + 0 37 + 4x = 5 Add '-37' to each side of the equation. 37 + -37 + 4x = 5 + -37 Combine like terms: 37 + -37 = 0 0 + 4x = 5 + -37 4x = 5 + -37 Combine like terms: 5 + -37 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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