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Simplifying -44 = -4(x + -1) + -7(-8 + -8) Reorder the terms: -44 = -4(-1 + x) + -7(-8 + -8) -44 = (-1 * -4 + x * -4) + -7(-8 + -8) -44 = (4 + -4x) + -7(-8 + -8) Combine like terms: -8 + -8 = -16 -44 = 4 + -4x + -7(-16) Multiply -7 * -16 -44 = 4 + -4x + 112 Reorder the terms: -44 = 4 + 112 + -4x Combine like terms: 4 + 112 = 116 -44 = 116 + -4x Solving -44 = 116 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -44 + 4x = 116 + -4x + 4x Combine like terms: -4x + 4x = 0 -44 + 4x = 116 + 0 -44 + 4x = 116 Add '44' to each side of the equation. -44 + 44 + 4x = 116 + 44 Combine like terms: -44 + 44 = 0 0 + 4x = 116 + 44 4x = 116 + 44 Combine like terms: 116 + 44 = 160 4x = 160 Divide each side by '4'. x = 40 Simplifying x = 40
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