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Simplifying x + 8(-8x + 5) = 40 + x Reorder the terms: x + 8(5 + -8x) = 40 + x x + (5 * 8 + -8x * 8) = 40 + x x + (40 + -64x) = 40 + x Reorder the terms: 40 + x + -64x = 40 + x Combine like terms: x + -64x = -63x 40 + -63x = 40 + x Add '-40' to each side of the equation. 40 + -40 + -63x = 40 + -40 + x Combine like terms: 40 + -40 = 0 0 + -63x = 40 + -40 + x -63x = 40 + -40 + x Combine like terms: 40 + -40 = 0 -63x = 0 + x -63x = x Solving -63x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -63x + -1x = x + -1x Combine like terms: -63x + -1x = -64x -64x = x + -1x Combine like terms: x + -1x = 0 -64x = 0 Divide each side by '-64'. x = 0 Simplifying x = 0
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