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Simplifying -6x + -44(x + 2) = -7(7x + 5) Reorder the terms: -6x + -44(2 + x) = -7(7x + 5) -6x + (2 * -44 + x * -44) = -7(7x + 5) -6x + (-88 + -44x) = -7(7x + 5) Reorder the terms: -88 + -6x + -44x = -7(7x + 5) Combine like terms: -6x + -44x = -50x -88 + -50x = -7(7x + 5) Reorder the terms: -88 + -50x = -7(5 + 7x) -88 + -50x = (5 * -7 + 7x * -7) -88 + -50x = (-35 + -49x) Solving -88 + -50x = -35 + -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. -88 + -50x + 49x = -35 + -49x + 49x Combine like terms: -50x + 49x = -1x -88 + -1x = -35 + -49x + 49x Combine like terms: -49x + 49x = 0 -88 + -1x = -35 + 0 -88 + -1x = -35 Add '88' to each side of the equation. -88 + 88 + -1x = -35 + 88 Combine like terms: -88 + 88 = 0 0 + -1x = -35 + 88 -1x = -35 + 88 Combine like terms: -35 + 88 = 53 -1x = 53 Divide each side by '-1'. x = -53 Simplifying x = -53
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