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Simplifying 9x + 7(-3x + -4) = -31 + -9x Reorder the terms: 9x + 7(-4 + -3x) = -31 + -9x 9x + (-4 * 7 + -3x * 7) = -31 + -9x 9x + (-28 + -21x) = -31 + -9x Reorder the terms: -28 + 9x + -21x = -31 + -9x Combine like terms: 9x + -21x = -12x -28 + -12x = -31 + -9x Solving -28 + -12x = -31 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -28 + -12x + 9x = -31 + -9x + 9x Combine like terms: -12x + 9x = -3x -28 + -3x = -31 + -9x + 9x Combine like terms: -9x + 9x = 0 -28 + -3x = -31 + 0 -28 + -3x = -31 Add '28' to each side of the equation. -28 + 28 + -3x = -31 + 28 Combine like terms: -28 + 28 = 0 0 + -3x = -31 + 28 -3x = -31 + 28 Combine like terms: -31 + 28 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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