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Simplifying 3x + -1(7x + 7) = 4x + -31 Reorder the terms: 3x + -1(7 + 7x) = 4x + -31 3x + (7 * -1 + 7x * -1) = 4x + -31 3x + (-7 + -7x) = 4x + -31 Reorder the terms: -7 + 3x + -7x = 4x + -31 Combine like terms: 3x + -7x = -4x -7 + -4x = 4x + -31 Reorder the terms: -7 + -4x = -31 + 4x Solving -7 + -4x = -31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + -4x + -4x = -31 + 4x + -4x Combine like terms: -4x + -4x = -8x -7 + -8x = -31 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -8x = -31 + 0 -7 + -8x = -31 Add '7' to each side of the equation. -7 + 7 + -8x = -31 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -31 + 7 -8x = -31 + 7 Combine like terms: -31 + 7 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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