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Simplifying -5(-8x + -5) + -7(-7 + -8x) = -24 + 97x Reorder the terms: -5(-5 + -8x) + -7(-7 + -8x) = -24 + 97x (-5 * -5 + -8x * -5) + -7(-7 + -8x) = -24 + 97x (25 + 40x) + -7(-7 + -8x) = -24 + 97x 25 + 40x + (-7 * -7 + -8x * -7) = -24 + 97x 25 + 40x + (49 + 56x) = -24 + 97x Reorder the terms: 25 + 49 + 40x + 56x = -24 + 97x Combine like terms: 25 + 49 = 74 74 + 40x + 56x = -24 + 97x Combine like terms: 40x + 56x = 96x 74 + 96x = -24 + 97x Solving 74 + 96x = -24 + 97x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-97x' to each side of the equation. 74 + 96x + -97x = -24 + 97x + -97x Combine like terms: 96x + -97x = -1x 74 + -1x = -24 + 97x + -97x Combine like terms: 97x + -97x = 0 74 + -1x = -24 + 0 74 + -1x = -24 Add '-74' to each side of the equation. 74 + -74 + -1x = -24 + -74 Combine like terms: 74 + -74 = 0 0 + -1x = -24 + -74 -1x = -24 + -74 Combine like terms: -24 + -74 = -98 -1x = -98 Divide each side by '-1'. x = 98 Simplifying x = 98
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