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Simplifying -44 = -4(x + -1) + -7(-8x + -8) Reorder the terms: -44 = -4(-1 + x) + -7(-8x + -8) -44 = (-1 * -4 + x * -4) + -7(-8x + -8) -44 = (4 + -4x) + -7(-8x + -8) Reorder the terms: -44 = 4 + -4x + -7(-8 + -8x) -44 = 4 + -4x + (-8 * -7 + -8x * -7) -44 = 4 + -4x + (56 + 56x) Reorder the terms: -44 = 4 + 56 + -4x + 56x Combine like terms: 4 + 56 = 60 -44 = 60 + -4x + 56x Combine like terms: -4x + 56x = 52x -44 = 60 + 52x Solving -44 = 60 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. -44 + -52x = 60 + 52x + -52x Combine like terms: 52x + -52x = 0 -44 + -52x = 60 + 0 -44 + -52x = 60 Add '44' to each side of the equation. -44 + 44 + -52x = 60 + 44 Combine like terms: -44 + 44 = 0 0 + -52x = 60 + 44 -52x = 60 + 44 Combine like terms: 60 + 44 = 104 -52x = 104 Divide each side by '-52'. x = -2 Simplifying x = -2
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