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Simplifying -7(1 + 3x) = -7(x + 9) (1 * -7 + 3x * -7) = -7(x + 9) (-7 + -21x) = -7(x + 9) Reorder the terms: -7 + -21x = -7(9 + x) -7 + -21x = (9 * -7 + x * -7) -7 + -21x = (-63 + -7x) Solving -7 + -21x = -63 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -7 + -21x + 7x = -63 + -7x + 7x Combine like terms: -21x + 7x = -14x -7 + -14x = -63 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + -14x = -63 + 0 -7 + -14x = -63 Add '7' to each side of the equation. -7 + 7 + -14x = -63 + 7 Combine like terms: -7 + 7 = 0 0 + -14x = -63 + 7 -14x = -63 + 7 Combine like terms: -63 + 7 = -56 -14x = -56 Divide each side by '-14'. x = 4 Simplifying x = 4
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