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Simplifying -1(5x + 1) + 5x = 35 + -2x Reorder the terms: -1(1 + 5x) + 5x = 35 + -2x (1 * -1 + 5x * -1) + 5x = 35 + -2x (-1 + -5x) + 5x = 35 + -2x Combine like terms: -5x + 5x = 0 -1 + 0 = 35 + -2x -1 = 35 + -2x Solving -1 = 35 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1 + 2x = 35 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 2x = 35 + 0 -1 + 2x = 35 Add '1' to each side of the equation. -1 + 1 + 2x = 35 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 35 + 1 2x = 35 + 1 Combine like terms: 35 + 1 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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