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Simplifying 9 + 5(x + -7) = 9 + -4(x + -1) Reorder the terms: 9 + 5(-7 + x) = 9 + -4(x + -1) 9 + (-7 * 5 + x * 5) = 9 + -4(x + -1) 9 + (-35 + 5x) = 9 + -4(x + -1) Combine like terms: 9 + -35 = -26 -26 + 5x = 9 + -4(x + -1) Reorder the terms: -26 + 5x = 9 + -4(-1 + x) -26 + 5x = 9 + (-1 * -4 + x * -4) -26 + 5x = 9 + (4 + -4x) Combine like terms: 9 + 4 = 13 -26 + 5x = 13 + -4x Solving -26 + 5x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -26 + 5x + 4x = 13 + -4x + 4x Combine like terms: 5x + 4x = 9x -26 + 9x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 -26 + 9x = 13 + 0 -26 + 9x = 13 Add '26' to each side of the equation. -26 + 26 + 9x = 13 + 26 Combine like terms: -26 + 26 = 0 0 + 9x = 13 + 26 9x = 13 + 26 Combine like terms: 13 + 26 = 39 9x = 39 Divide each side by '9'. x = 4.333333333 Simplifying x = 4.333333333
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