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Simplifying x + (2 + -5x) = 2x + -1(7x + 1) Remove parenthesis around (2 + -5x) x + 2 + -5x = 2x + -1(7x + 1) Reorder the terms: 2 + x + -5x = 2x + -1(7x + 1) Combine like terms: x + -5x = -4x 2 + -4x = 2x + -1(7x + 1) Reorder the terms: 2 + -4x = 2x + -1(1 + 7x) 2 + -4x = 2x + (1 * -1 + 7x * -1) 2 + -4x = 2x + (-1 + -7x) Reorder the terms: 2 + -4x = -1 + 2x + -7x Combine like terms: 2x + -7x = -5x 2 + -4x = -1 + -5x Solving 2 + -4x = -1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + -4x + 5x = -1 + -5x + 5x Combine like terms: -4x + 5x = 1x 2 + 1x = -1 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 1x = -1 + 0 2 + 1x = -1 Add '-2' to each side of the equation. 2 + -2 + 1x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -1 + -2 1x = -1 + -2 Combine like terms: -1 + -2 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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