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Simplifying -8(x + 7) + 65 = 15 + -9x Reorder the terms: -8(7 + x) + 65 = 15 + -9x (7 * -8 + x * -8) + 65 = 15 + -9x (-56 + -8x) + 65 = 15 + -9x Reorder the terms: -56 + 65 + -8x = 15 + -9x Combine like terms: -56 + 65 = 9 9 + -8x = 15 + -9x Solving 9 + -8x = 15 + -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. 9 + -8x + 9x = 15 + -9x + 9x Combine like terms: -8x + 9x = 1x 9 + 1x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 9 + 1x = 15 + 0 9 + 1x = 15 Add '-9' to each side of the equation. 9 + -9 + 1x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 15 + -9 1x = 15 + -9 Combine like terms: 15 + -9 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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