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Simplifying 2(3x + -3) = 7(7x + -9) Reorder the terms: 2(-3 + 3x) = 7(7x + -9) (-3 * 2 + 3x * 2) = 7(7x + -9) (-6 + 6x) = 7(7x + -9) Reorder the terms: -6 + 6x = 7(-9 + 7x) -6 + 6x = (-9 * 7 + 7x * 7) -6 + 6x = (-63 + 49x) Solving -6 + 6x = -63 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. -6 + 6x + -49x = -63 + 49x + -49x Combine like terms: 6x + -49x = -43x -6 + -43x = -63 + 49x + -49x Combine like terms: 49x + -49x = 0 -6 + -43x = -63 + 0 -6 + -43x = -63 Add '6' to each side of the equation. -6 + 6 + -43x = -63 + 6 Combine like terms: -6 + 6 = 0 0 + -43x = -63 + 6 -43x = -63 + 6 Combine like terms: -63 + 6 = -57 -43x = -57 Divide each side by '-43'. x = 1.325581395 Simplifying x = 1.325581395
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