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Simplifying 5 + 9(x + -1) = 4 + -7(x + -9) Reorder the terms: 5 + 9(-1 + x) = 4 + -7(x + -9) 5 + (-1 * 9 + x * 9) = 4 + -7(x + -9) 5 + (-9 + 9x) = 4 + -7(x + -9) Combine like terms: 5 + -9 = -4 -4 + 9x = 4 + -7(x + -9) Reorder the terms: -4 + 9x = 4 + -7(-9 + x) -4 + 9x = 4 + (-9 * -7 + x * -7) -4 + 9x = 4 + (63 + -7x) Combine like terms: 4 + 63 = 67 -4 + 9x = 67 + -7x Solving -4 + 9x = 67 + -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. -4 + 9x + 7x = 67 + -7x + 7x Combine like terms: 9x + 7x = 16x -4 + 16x = 67 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + 16x = 67 + 0 -4 + 16x = 67 Add '4' to each side of the equation. -4 + 4 + 16x = 67 + 4 Combine like terms: -4 + 4 = 0 0 + 16x = 67 + 4 16x = 67 + 4 Combine like terms: 67 + 4 = 71 16x = 71 Divide each side by '16'. x = 4.4375 Simplifying x = 4.4375
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