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Simplifying 9(x + -2) + -7(x + 1) = -15 Reorder the terms: 9(-2 + x) + -7(x + 1) = -15 (-2 * 9 + x * 9) + -7(x + 1) = -15 (-18 + 9x) + -7(x + 1) = -15 Reorder the terms: -18 + 9x + -7(1 + x) = -15 -18 + 9x + (1 * -7 + x * -7) = -15 -18 + 9x + (-7 + -7x) = -15 Reorder the terms: -18 + -7 + 9x + -7x = -15 Combine like terms: -18 + -7 = -25 -25 + 9x + -7x = -15 Combine like terms: 9x + -7x = 2x -25 + 2x = -15 Solving -25 + 2x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 2x = -15 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = -15 + 25 2x = -15 + 25 Combine like terms: -15 + 25 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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