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Simplifying 7x + -3(4x + -5) = 15 + 21x Reorder the terms: 7x + -3(-5 + 4x) = 15 + 21x 7x + (-5 * -3 + 4x * -3) = 15 + 21x 7x + (15 + -12x) = 15 + 21x Reorder the terms: 15 + 7x + -12x = 15 + 21x Combine like terms: 7x + -12x = -5x 15 + -5x = 15 + 21x Add '-15' to each side of the equation. 15 + -15 + -5x = 15 + -15 + 21x Combine like terms: 15 + -15 = 0 0 + -5x = 15 + -15 + 21x -5x = 15 + -15 + 21x Combine like terms: 15 + -15 = 0 -5x = 0 + 21x -5x = 21x Solving -5x = 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. -5x + -21x = 21x + -21x Combine like terms: -5x + -21x = -26x -26x = 21x + -21x Combine like terms: 21x + -21x = 0 -26x = 0 Divide each side by '-26'. x = 0 Simplifying x = 0
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