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Simplifying -8x + -37 = -3x + 7(1 + -7x) Reorder the terms: -37 + -8x = -3x + 7(1 + -7x) -37 + -8x = -3x + (1 * 7 + -7x * 7) -37 + -8x = -3x + (7 + -49x) Reorder the terms: -37 + -8x = 7 + -3x + -49x Combine like terms: -3x + -49x = -52x -37 + -8x = 7 + -52x Solving -37 + -8x = 7 + -52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52x' to each side of the equation. -37 + -8x + 52x = 7 + -52x + 52x Combine like terms: -8x + 52x = 44x -37 + 44x = 7 + -52x + 52x Combine like terms: -52x + 52x = 0 -37 + 44x = 7 + 0 -37 + 44x = 7 Add '37' to each side of the equation. -37 + 37 + 44x = 7 + 37 Combine like terms: -37 + 37 = 0 0 + 44x = 7 + 37 44x = 7 + 37 Combine like terms: 7 + 37 = 44 44x = 44 Divide each side by '44'. x = 1 Simplifying x = 1
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