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Simplifying -7x + 31 = -8(4x + -7) Reorder the terms: 31 + -7x = -8(4x + -7) Reorder the terms: 31 + -7x = -8(-7 + 4x) 31 + -7x = (-7 * -8 + 4x * -8) 31 + -7x = (56 + -32x) Solving 31 + -7x = 56 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 31 + -7x + 32x = 56 + -32x + 32x Combine like terms: -7x + 32x = 25x 31 + 25x = 56 + -32x + 32x Combine like terms: -32x + 32x = 0 31 + 25x = 56 + 0 31 + 25x = 56 Add '-31' to each side of the equation. 31 + -31 + 25x = 56 + -31 Combine like terms: 31 + -31 = 0 0 + 25x = 56 + -31 25x = 56 + -31 Combine like terms: 56 + -31 = 25 25x = 25 Divide each side by '25'. x = 1 Simplifying x = 1
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