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