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Simplifying -9x + (x + -7) = -9(x + -5) + 15 Reorder the terms: -9x + (-7 + x) = -9(x + -5) + 15 Remove parenthesis around (-7 + x) -9x + -7 + x = -9(x + -5) + 15 Reorder the terms: -7 + -9x + x = -9(x + -5) + 15 Combine like terms: -9x + x = -8x -7 + -8x = -9(x + -5) + 15 Reorder the terms: -7 + -8x = -9(-5 + x) + 15 -7 + -8x = (-5 * -9 + x * -9) + 15 -7 + -8x = (45 + -9x) + 15 Reorder the terms: -7 + -8x = 45 + 15 + -9x Combine like terms: 45 + 15 = 60 -7 + -8x = 60 + -9x Solving -7 + -8x = 60 + -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. -7 + -8x + 9x = 60 + -9x + 9x Combine like terms: -8x + 9x = 1x -7 + 1x = 60 + -9x + 9x Combine like terms: -9x + 9x = 0 -7 + 1x = 60 + 0 -7 + 1x = 60 Add '7' to each side of the equation. -7 + 7 + 1x = 60 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 60 + 7 1x = 60 + 7 Combine like terms: 60 + 7 = 67 1x = 67 Divide each side by '1'. x = 67 Simplifying x = 67
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