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Simplifying 9(x + -1) = -7(x + 4) + 45 Reorder the terms: 9(-1 + x) = -7(x + 4) + 45 (-1 * 9 + x * 9) = -7(x + 4) + 45 (-9 + 9x) = -7(x + 4) + 45 Reorder the terms: -9 + 9x = -7(4 + x) + 45 -9 + 9x = (4 * -7 + x * -7) + 45 -9 + 9x = (-28 + -7x) + 45 Reorder the terms: -9 + 9x = -28 + 45 + -7x Combine like terms: -28 + 45 = 17 -9 + 9x = 17 + -7x Solving -9 + 9x = 17 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -9 + 9x + 7x = 17 + -7x + 7x Combine like terms: 9x + 7x = 16x -9 + 16x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 + 16x = 17 + 0 -9 + 16x = 17 Add '9' to each side of the equation. -9 + 9 + 16x = 17 + 9 Combine like terms: -9 + 9 = 0 0 + 16x = 17 + 9 16x = 17 + 9 Combine like terms: 17 + 9 = 26 16x = 26 Divide each side by '16'. x = 1.625 Simplifying x = 1.625
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