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Simplifying -8(x + 8) + x = -7(-5 + -1x) Reorder the terms: -8(8 + x) + x = -7(-5 + -1x) (8 * -8 + x * -8) + x = -7(-5 + -1x) (-64 + -8x) + x = -7(-5 + -1x) Combine like terms: -8x + x = -7x -64 + -7x = -7(-5 + -1x) -64 + -7x = (-5 * -7 + -1x * -7) -64 + -7x = (35 + 7x) Solving -64 + -7x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -64 + -7x + -7x = 35 + 7x + -7x Combine like terms: -7x + -7x = -14x -64 + -14x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -64 + -14x = 35 + 0 -64 + -14x = 35 Add '64' to each side of the equation. -64 + 64 + -14x = 35 + 64 Combine like terms: -64 + 64 = 0 0 + -14x = 35 + 64 -14x = 35 + 64 Combine like terms: 35 + 64 = 99 -14x = 99 Divide each side by '-14'. x = -7.071428571 Simplifying x = -7.071428571
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