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Simplifying -1(-7 + (1 + -2x) * 2) = 1 + -5x Reorder the terms for easier multiplication: -1(-7 + 2(1 + -2x)) = 1 + -5x -1(-7 + (1 * 2 + -2x * 2)) = 1 + -5x -1(-7 + (2 + -4x)) = 1 + -5x Combine like terms: -7 + 2 = -5 -1(-5 + -4x) = 1 + -5x (-5 * -1 + -4x * -1) = 1 + -5x (5 + 4x) = 1 + -5x Solving 5 + 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. 5 + 4x + 5x = 1 + -5x + 5x Combine like terms: 4x + 5x = 9x 5 + 9x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 9x = 1 + 0 5 + 9x = 1 Add '-5' to each side of the equation. 5 + -5 + 9x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 1 + -5 9x = 1 + -5 Combine like terms: 1 + -5 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444
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