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Simplifying -2(x + -9) + 7(x + -7) = 9x + 5 Reorder the terms: -2(-9 + x) + 7(x + -7) = 9x + 5 (-9 * -2 + x * -2) + 7(x + -7) = 9x + 5 (18 + -2x) + 7(x + -7) = 9x + 5 Reorder the terms: 18 + -2x + 7(-7 + x) = 9x + 5 18 + -2x + (-7 * 7 + x * 7) = 9x + 5 18 + -2x + (-49 + 7x) = 9x + 5 Reorder the terms: 18 + -49 + -2x + 7x = 9x + 5 Combine like terms: 18 + -49 = -31 -31 + -2x + 7x = 9x + 5 Combine like terms: -2x + 7x = 5x -31 + 5x = 9x + 5 Reorder the terms: -31 + 5x = 5 + 9x Solving -31 + 5x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -31 + 5x + -9x = 5 + 9x + -9x Combine like terms: 5x + -9x = -4x -31 + -4x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 -31 + -4x = 5 + 0 -31 + -4x = 5 Add '31' to each side of the equation. -31 + 31 + -4x = 5 + 31 Combine like terms: -31 + 31 = 0 0 + -4x = 5 + 31 -4x = 5 + 31 Combine like terms: 5 + 31 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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