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Simplifying 31 + 8x = 7(4x + -7) Reorder the terms: 31 + 8x = 7(-7 + 4x) 31 + 8x = (-7 * 7 + 4x * 7) 31 + 8x = (-49 + 28x) Solving 31 + 8x = -49 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 31 + 8x + -28x = -49 + 28x + -28x Combine like terms: 8x + -28x = -20x 31 + -20x = -49 + 28x + -28x Combine like terms: 28x + -28x = 0 31 + -20x = -49 + 0 31 + -20x = -49 Add '-31' to each side of the equation. 31 + -31 + -20x = -49 + -31 Combine like terms: 31 + -31 = 0 0 + -20x = -49 + -31 -20x = -49 + -31 Combine like terms: -49 + -31 = -80 -20x = -80 Divide each side by '-20'. x = 4 Simplifying x = 4
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