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Simplifying 7(5x + -14x + 25 + -28) = 420 Reorder the terms: 7(25 + -28 + 5x + -14x) = 420 Combine like terms: 25 + -28 = -3 7(-3 + 5x + -14x) = 420 Combine like terms: 5x + -14x = -9x 7(-3 + -9x) = 420 (-3 * 7 + -9x * 7) = 420 (-21 + -63x) = 420 Solving -21 + -63x = 420 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -63x = 420 + 21 Combine like terms: -21 + 21 = 0 0 + -63x = 420 + 21 -63x = 420 + 21 Combine like terms: 420 + 21 = 441 -63x = 441 Divide each side by '-63'. x = -7 Simplifying x = -7
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