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Simplifying 9x + 9 + 2x + -7(3 + x) = -84 9x + 9 + 2x + (3 * -7 + x * -7) = -84 9x + 9 + 2x + (-21 + -7x) = -84 Reorder the terms: 9 + -21 + 9x + 2x + -7x = -84 Combine like terms: 9 + -21 = -12 -12 + 9x + 2x + -7x = -84 Combine like terms: 9x + 2x = 11x -12 + 11x + -7x = -84 Combine like terms: 11x + -7x = 4x -12 + 4x = -84 Solving -12 + 4x = -84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4x = -84 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -84 + 12 4x = -84 + 12 Combine like terms: -84 + 12 = -72 4x = -72 Divide each side by '4'. x = -18 Simplifying x = -18
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