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Simplifying -7(3 + -6x) = -21 + -5x (3 * -7 + -6x * -7) = -21 + -5x (-21 + 42x) = -21 + -5x Add '21' to each side of the equation. -21 + 21 + 42x = -21 + 21 + -5x Combine like terms: -21 + 21 = 0 0 + 42x = -21 + 21 + -5x 42x = -21 + 21 + -5x Combine like terms: -21 + 21 = 0 42x = 0 + -5x 42x = -5x Solving 42x = -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. 42x + 5x = -5x + 5x Combine like terms: 42x + 5x = 47x 47x = -5x + 5x Combine like terms: -5x + 5x = 0 47x = 0 Divide each side by '47'. x = 0 Simplifying x = 0
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