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Simplifying 8(8 + 3x) = -31 + 5x (8 * 8 + 3x * 8) = -31 + 5x (64 + 24x) = -31 + 5x Solving 64 + 24x = -31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 64 + 24x + -5x = -31 + 5x + -5x Combine like terms: 24x + -5x = 19x 64 + 19x = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 64 + 19x = -31 + 0 64 + 19x = -31 Add '-64' to each side of the equation. 64 + -64 + 19x = -31 + -64 Combine like terms: 64 + -64 = 0 0 + 19x = -31 + -64 19x = -31 + -64 Combine like terms: -31 + -64 = -95 19x = -95 Divide each side by '19'. x = -5 Simplifying x = -5
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