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Simplifying 3x + -1(2 + 5x + -1) = x + 6x + -1 Reorder the terms: 3x + -1(2 + -1 + 5x) = x + 6x + -1 Combine like terms: 2 + -1 = 1 3x + -1(1 + 5x) = x + 6x + -1 3x + (1 * -1 + 5x * -1) = x + 6x + -1 3x + (-1 + -5x) = x + 6x + -1 Reorder the terms: -1 + 3x + -5x = x + 6x + -1 Combine like terms: 3x + -5x = -2x -1 + -2x = x + 6x + -1 Reorder the terms: -1 + -2x = -1 + x + 6x Combine like terms: x + 6x = 7x -1 + -2x = -1 + 7x Add '1' to each side of the equation. -1 + 1 + -2x = -1 + 1 + 7x Combine like terms: -1 + 1 = 0 0 + -2x = -1 + 1 + 7x -2x = -1 + 1 + 7x Combine like terms: -1 + 1 = 0 -2x = 0 + 7x -2x = 7x Solving -2x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2x + -7x = 7x + -7x Combine like terms: -2x + -7x = -9x -9x = 7x + -7x Combine like terms: 7x + -7x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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