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Simplifying x + -1(2 + -5x) = 2(2x + -1) + 6 x + (2 * -1 + -5x * -1) = 2(2x + -1) + 6 x + (-2 + 5x) = 2(2x + -1) + 6 Reorder the terms: -2 + x + 5x = 2(2x + -1) + 6 Combine like terms: x + 5x = 6x -2 + 6x = 2(2x + -1) + 6 Reorder the terms: -2 + 6x = 2(-1 + 2x) + 6 -2 + 6x = (-1 * 2 + 2x * 2) + 6 -2 + 6x = (-2 + 4x) + 6 Reorder the terms: -2 + 6x = -2 + 6 + 4x Combine like terms: -2 + 6 = 4 -2 + 6x = 4 + 4x Solving -2 + 6x = 4 + 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. -2 + 6x + -4x = 4 + 4x + -4x Combine like terms: 6x + -4x = 2x -2 + 2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 2x = 4 + 0 -2 + 2x = 4 Add '2' to each side of the equation. -2 + 2 + 2x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 4 + 2 2x = 4 + 2 Combine like terms: 4 + 2 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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