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Simplifying 9x + -1(4x + -9) = 7 + 4x Reorder the terms: 9x + -1(-9 + 4x) = 7 + 4x 9x + (-9 * -1 + 4x * -1) = 7 + 4x 9x + (9 + -4x) = 7 + 4x Reorder the terms: 9 + 9x + -4x = 7 + 4x Combine like terms: 9x + -4x = 5x 9 + 5x = 7 + 4x Solving 9 + 5x = 7 + 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. 9 + 5x + -4x = 7 + 4x + -4x Combine like terms: 5x + -4x = 1x 9 + 1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 1x = 7 + 0 9 + 1x = 7 Add '-9' to each side of the equation. 9 + -9 + 1x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 7 + -9 1x = 7 + -9 Combine like terms: 7 + -9 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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