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Simplifying 7(x + -4) = 21x Reorder the terms: 7(-4 + x) = 21x (-4 * 7 + x * 7) = 21x (-28 + 7x) = 21x Solving -28 + 7x = 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. -28 + 7x + -21x = 21x + -21x Combine like terms: 7x + -21x = -14x -28 + -14x = 21x + -21x Combine like terms: 21x + -21x = 0 -28 + -14x = 0 Add '28' to each side of the equation. -28 + 28 + -14x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -14x = 0 + 28 -14x = 0 + 28 Combine like terms: 0 + 28 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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