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Simplifying -3x + -21 = -6(x + 1) Reorder the terms: -21 + -3x = -6(x + 1) Reorder the terms: -21 + -3x = -6(1 + x) -21 + -3x = (1 * -6 + x * -6) -21 + -3x = (-6 + -6x) Solving -21 + -3x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -21 + -3x + 6x = -6 + -6x + 6x Combine like terms: -3x + 6x = 3x -21 + 3x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -21 + 3x = -6 + 0 -21 + 3x = -6 Add '21' to each side of the equation. -21 + 21 + 3x = -6 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = -6 + 21 3x = -6 + 21 Combine like terms: -6 + 21 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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