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Simplifying 21 + -4x = 6(x + -1) + -1x Reorder the terms: 21 + -4x = 6(-1 + x) + -1x 21 + -4x = (-1 * 6 + x * 6) + -1x 21 + -4x = (-6 + 6x) + -1x Combine like terms: 6x + -1x = 5x 21 + -4x = -6 + 5x Solving 21 + -4x = -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. 21 + -4x + -5x = -6 + 5x + -5x Combine like terms: -4x + -5x = -9x 21 + -9x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -9x = -6 + 0 21 + -9x = -6 Add '-21' to each side of the equation. 21 + -21 + -9x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + -9x = -6 + -21 -9x = -6 + -21 Combine like terms: -6 + -21 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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