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Simplifying -1(x + -7) + -8(x + -6) = 64 Reorder the terms: -1(-7 + x) + -8(x + -6) = 64 (-7 * -1 + x * -1) + -8(x + -6) = 64 (7 + -1x) + -8(x + -6) = 64 Reorder the terms: 7 + -1x + -8(-6 + x) = 64 7 + -1x + (-6 * -8 + x * -8) = 64 7 + -1x + (48 + -8x) = 64 Reorder the terms: 7 + 48 + -1x + -8x = 64 Combine like terms: 7 + 48 = 55 55 + -1x + -8x = 64 Combine like terms: -1x + -8x = -9x 55 + -9x = 64 Solving 55 + -9x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -9x = 64 + -55 Combine like terms: 55 + -55 = 0 0 + -9x = 64 + -55 -9x = 64 + -55 Combine like terms: 64 + -55 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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