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Simplifying -1(6 + -1x) + 6x = 4x + -21 (6 * -1 + -1x * -1) + 6x = 4x + -21 (-6 + 1x) + 6x = 4x + -21 Combine like terms: 1x + 6x = 7x -6 + 7x = 4x + -21 Reorder the terms: -6 + 7x = -21 + 4x Solving -6 + 7x = -21 + 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. -6 + 7x + -4x = -21 + 4x + -4x Combine like terms: 7x + -4x = 3x -6 + 3x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 3x = -21 + 0 -6 + 3x = -21 Add '6' to each side of the equation. -6 + 6 + 3x = -21 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -21 + 6 3x = -21 + 6 Combine like terms: -21 + 6 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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