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Simplifying 9(x + -7) = 5x + -31 Reorder the terms: 9(-7 + x) = 5x + -31 (-7 * 9 + x * 9) = 5x + -31 (-63 + 9x) = 5x + -31 Reorder the terms: -63 + 9x = -31 + 5x Solving -63 + 9x = -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. -63 + 9x + -5x = -31 + 5x + -5x Combine like terms: 9x + -5x = 4x -63 + 4x = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 -63 + 4x = -31 + 0 -63 + 4x = -31 Add '63' to each side of the equation. -63 + 63 + 4x = -31 + 63 Combine like terms: -63 + 63 = 0 0 + 4x = -31 + 63 4x = -31 + 63 Combine like terms: -31 + 63 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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