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Simplifying -5x + 3 + -1(9x + -2) + 7 = 96 Reorder the terms: -5x + 3 + -1(-2 + 9x) + 7 = 96 -5x + 3 + (-2 * -1 + 9x * -1) + 7 = 96 -5x + 3 + (2 + -9x) + 7 = 96 Reorder the terms: 3 + 2 + 7 + -5x + -9x = 96 Combine like terms: 3 + 2 = 5 5 + 7 + -5x + -9x = 96 Combine like terms: 5 + 7 = 12 12 + -5x + -9x = 96 Combine like terms: -5x + -9x = -14x 12 + -14x = 96 Solving 12 + -14x = 96 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 + -14x = 96 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = 96 + -12 -14x = 96 + -12 Combine like terms: 96 + -12 = 84 -14x = 84 Divide each side by '-14'. x = -6 Simplifying x = -6
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