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Simplifying 7(x + -7) + -8(4 + -8x) = -10 Reorder the terms: 7(-7 + x) + -8(4 + -8x) = -10 (-7 * 7 + x * 7) + -8(4 + -8x) = -10 (-49 + 7x) + -8(4 + -8x) = -10 -49 + 7x + (4 * -8 + -8x * -8) = -10 -49 + 7x + (-32 + 64x) = -10 Reorder the terms: -49 + -32 + 7x + 64x = -10 Combine like terms: -49 + -32 = -81 -81 + 7x + 64x = -10 Combine like terms: 7x + 64x = 71x -81 + 71x = -10 Solving -81 + 71x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 71x = -10 + 81 Combine like terms: -81 + 81 = 0 0 + 71x = -10 + 81 71x = -10 + 81 Combine like terms: -10 + 81 = 71 71x = 71 Divide each side by '71'. x = 1 Simplifying x = 1
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