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Simplifying 9(x + -3) = 7x + -31 Reorder the terms: 9(-3 + x) = 7x + -31 (-3 * 9 + x * 9) = 7x + -31 (-27 + 9x) = 7x + -31 Reorder the terms: -27 + 9x = -31 + 7x Solving -27 + 9x = -31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -27 + 9x + -7x = -31 + 7x + -7x Combine like terms: 9x + -7x = 2x -27 + 2x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 + 2x = -31 + 0 -27 + 2x = -31 Add '27' to each side of the equation. -27 + 27 + 2x = -31 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = -31 + 27 2x = -31 + 27 Combine like terms: -31 + 27 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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