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Simplifying 9(x + 1) + -1(4x + -7) = 7 Reorder the terms: 9(1 + x) + -1(4x + -7) = 7 (1 * 9 + x * 9) + -1(4x + -7) = 7 (9 + 9x) + -1(4x + -7) = 7 Reorder the terms: 9 + 9x + -1(-7 + 4x) = 7 9 + 9x + (-7 * -1 + 4x * -1) = 7 9 + 9x + (7 + -4x) = 7 Reorder the terms: 9 + 7 + 9x + -4x = 7 Combine like terms: 9 + 7 = 16 16 + 9x + -4x = 7 Combine like terms: 9x + -4x = 5x 16 + 5x = 7 Solving 16 + 5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5x = 7 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 7 + -16 5x = 7 + -16 Combine like terms: 7 + -16 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8
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