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Simplifying -1(2x + 1) = 5x + 6 Reorder the terms: -1(1 + 2x) = 5x + 6 (1 * -1 + 2x * -1) = 5x + 6 (-1 + -2x) = 5x + 6 Reorder the terms: -1 + -2x = 6 + 5x Solving -1 + -2x = 6 + 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. -1 + -2x + -5x = 6 + 5x + -5x Combine like terms: -2x + -5x = -7x -1 + -7x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -7x = 6 + 0 -1 + -7x = 6 Add '1' to each side of the equation. -1 + 1 + -7x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 6 + 1 -7x = 6 + 1 Combine like terms: 6 + 1 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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