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Simplifying -5(x + 5) + 7(8 + -7x) = -23 Reorder the terms: -5(5 + x) + 7(8 + -7x) = -23 (5 * -5 + x * -5) + 7(8 + -7x) = -23 (-25 + -5x) + 7(8 + -7x) = -23 -25 + -5x + (8 * 7 + -7x * 7) = -23 -25 + -5x + (56 + -49x) = -23 Reorder the terms: -25 + 56 + -5x + -49x = -23 Combine like terms: -25 + 56 = 31 31 + -5x + -49x = -23 Combine like terms: -5x + -49x = -54x 31 + -54x = -23 Solving 31 + -54x = -23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -54x = -23 + -31 Combine like terms: 31 + -31 = 0 0 + -54x = -23 + -31 -54x = -23 + -31 Combine like terms: -23 + -31 = -54 -54x = -54 Divide each side by '-54'. x = 1 Simplifying x = 1
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