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Simplifying 9(-8x + 1) + 7x = -4(9x + 5) Reorder the terms: 9(1 + -8x) + 7x = -4(9x + 5) (1 * 9 + -8x * 9) + 7x = -4(9x + 5) (9 + -72x) + 7x = -4(9x + 5) Combine like terms: -72x + 7x = -65x 9 + -65x = -4(9x + 5) Reorder the terms: 9 + -65x = -4(5 + 9x) 9 + -65x = (5 * -4 + 9x * -4) 9 + -65x = (-20 + -36x) Solving 9 + -65x = -20 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 9 + -65x + 36x = -20 + -36x + 36x Combine like terms: -65x + 36x = -29x 9 + -29x = -20 + -36x + 36x Combine like terms: -36x + 36x = 0 9 + -29x = -20 + 0 9 + -29x = -20 Add '-9' to each side of the equation. 9 + -9 + -29x = -20 + -9 Combine like terms: 9 + -9 = 0 0 + -29x = -20 + -9 -29x = -20 + -9 Combine like terms: -20 + -9 = -29 -29x = -29 Divide each side by '-29'. x = 1 Simplifying x = 1
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