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Simplifying -21 + -6x = -6x + -3(-8 + 5x) -21 + -6x = -6x + (-8 * -3 + 5x * -3) -21 + -6x = -6x + (24 + -15x) Reorder the terms: -21 + -6x = 24 + -6x + -15x Combine like terms: -6x + -15x = -21x -21 + -6x = 24 + -21x Solving -21 + -6x = 24 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -21 + -6x + 21x = 24 + -21x + 21x Combine like terms: -6x + 21x = 15x -21 + 15x = 24 + -21x + 21x Combine like terms: -21x + 21x = 0 -21 + 15x = 24 + 0 -21 + 15x = 24 Add '21' to each side of the equation. -21 + 21 + 15x = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 15x = 24 + 21 15x = 24 + 21 Combine like terms: 24 + 21 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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