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Simplifying -36 + 8x = 2x + 5(1 + -7x) -36 + 8x = 2x + (1 * 5 + -7x * 5) -36 + 8x = 2x + (5 + -35x) Reorder the terms: -36 + 8x = 5 + 2x + -35x Combine like terms: 2x + -35x = -33x -36 + 8x = 5 + -33x Solving -36 + 8x = 5 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -36 + 8x + 33x = 5 + -33x + 33x Combine like terms: 8x + 33x = 41x -36 + 41x = 5 + -33x + 33x Combine like terms: -33x + 33x = 0 -36 + 41x = 5 + 0 -36 + 41x = 5 Add '36' to each side of the equation. -36 + 36 + 41x = 5 + 36 Combine like terms: -36 + 36 = 0 0 + 41x = 5 + 36 41x = 5 + 36 Combine like terms: 5 + 36 = 41 41x = 41 Divide each side by '41'. x = 1 Simplifying x = 1
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