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Simplifying -10x + 31 = -7(1 + -4x) Reorder the terms: 31 + -10x = -7(1 + -4x) 31 + -10x = (1 * -7 + -4x * -7) 31 + -10x = (-7 + 28x) Solving 31 + -10x = -7 + 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 + -10x + -28x = -7 + 28x + -28x Combine like terms: -10x + -28x = -38x 31 + -38x = -7 + 28x + -28x Combine like terms: 28x + -28x = 0 31 + -38x = -7 + 0 31 + -38x = -7 Add '-31' to each side of the equation. 31 + -31 + -38x = -7 + -31 Combine like terms: 31 + -31 = 0 0 + -38x = -7 + -31 -38x = -7 + -31 Combine like terms: -7 + -31 = -38 -38x = -38 Divide each side by '-38'. x = 1 Simplifying x = 1
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