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Simplifying -8(1 + 8x) = -8(x + 7) + -8x (1 * -8 + 8x * -8) = -8(x + 7) + -8x (-8 + -64x) = -8(x + 7) + -8x Reorder the terms: -8 + -64x = -8(7 + x) + -8x -8 + -64x = (7 * -8 + x * -8) + -8x -8 + -64x = (-56 + -8x) + -8x Combine like terms: -8x + -8x = -16x -8 + -64x = -56 + -16x Solving -8 + -64x = -56 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -8 + -64x + 16x = -56 + -16x + 16x Combine like terms: -64x + 16x = -48x -8 + -48x = -56 + -16x + 16x Combine like terms: -16x + 16x = 0 -8 + -48x = -56 + 0 -8 + -48x = -56 Add '8' to each side of the equation. -8 + 8 + -48x = -56 + 8 Combine like terms: -8 + 8 = 0 0 + -48x = -56 + 8 -48x = -56 + 8 Combine like terms: -56 + 8 = -48 -48x = -48 Divide each side by '-48'. x = 1 Simplifying x = 1
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