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Simplifying 2 + 9(x + -5) = 6 + -7(x + -1) Reorder the terms: 2 + 9(-5 + x) = 6 + -7(x + -1) 2 + (-5 * 9 + x * 9) = 6 + -7(x + -1) 2 + (-45 + 9x) = 6 + -7(x + -1) Combine like terms: 2 + -45 = -43 -43 + 9x = 6 + -7(x + -1) Reorder the terms: -43 + 9x = 6 + -7(-1 + x) -43 + 9x = 6 + (-1 * -7 + x * -7) -43 + 9x = 6 + (7 + -7x) Combine like terms: 6 + 7 = 13 -43 + 9x = 13 + -7x Solving -43 + 9x = 13 + -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. -43 + 9x + 7x = 13 + -7x + 7x Combine like terms: 9x + 7x = 16x -43 + 16x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 -43 + 16x = 13 + 0 -43 + 16x = 13 Add '43' to each side of the equation. -43 + 43 + 16x = 13 + 43 Combine like terms: -43 + 43 = 0 0 + 16x = 13 + 43 16x = 13 + 43 Combine like terms: 13 + 43 = 56 16x = 56 Divide each side by '16'. x = 3.5 Simplifying x = 3.5
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