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Simplifying 5 + -2(3 + -1x) = 2(2x + 5) + 1 5 + (3 * -2 + -1x * -2) = 2(2x + 5) + 1 5 + (-6 + 2x) = 2(2x + 5) + 1 Combine like terms: 5 + -6 = -1 -1 + 2x = 2(2x + 5) + 1 Reorder the terms: -1 + 2x = 2(5 + 2x) + 1 -1 + 2x = (5 * 2 + 2x * 2) + 1 -1 + 2x = (10 + 4x) + 1 Reorder the terms: -1 + 2x = 10 + 1 + 4x Combine like terms: 10 + 1 = 11 -1 + 2x = 11 + 4x Solving -1 + 2x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 2x + -4x = 11 + 4x + -4x Combine like terms: 2x + -4x = -2x -1 + -2x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -2x = 11 + 0 -1 + -2x = 11 Add '1' to each side of the equation. -1 + 1 + -2x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 11 + 1 -2x = 11 + 1 Combine like terms: 11 + 1 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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