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Simplifying 2x + -5(1 + -1x) + -1 = 6x + 2 + -3x + 4 2x + (1 * -5 + -1x * -5) + -1 = 6x + 2 + -3x + 4 2x + (-5 + 5x) + -1 = 6x + 2 + -3x + 4 Reorder the terms: -5 + -1 + 2x + 5x = 6x + 2 + -3x + 4 Combine like terms: -5 + -1 = -6 -6 + 2x + 5x = 6x + 2 + -3x + 4 Combine like terms: 2x + 5x = 7x -6 + 7x = 6x + 2 + -3x + 4 Reorder the terms: -6 + 7x = 2 + 4 + 6x + -3x Combine like terms: 2 + 4 = 6 -6 + 7x = 6 + 6x + -3x Combine like terms: 6x + -3x = 3x -6 + 7x = 6 + 3x Solving -6 + 7x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 7x + -3x = 6 + 3x + -3x Combine like terms: 7x + -3x = 4x -6 + 4x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 4x = 6 + 0 -6 + 4x = 6 Add '6' to each side of the equation. -6 + 6 + 4x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 6 + 6 4x = 6 + 6 Combine like terms: 6 + 6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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