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Simplifying 8(8 + -1x) = 4(x + 10) (8 * 8 + -1x * 8) = 4(x + 10) (64 + -8x) = 4(x + 10) Reorder the terms: 64 + -8x = 4(10 + x) 64 + -8x = (10 * 4 + x * 4) 64 + -8x = (40 + 4x) Solving 64 + -8x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 64 + -8x + -4x = 40 + 4x + -4x Combine like terms: -8x + -4x = -12x 64 + -12x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 64 + -12x = 40 + 0 64 + -12x = 40 Add '-64' to each side of the equation. 64 + -64 + -12x = 40 + -64 Combine like terms: 64 + -64 = 0 0 + -12x = 40 + -64 -12x = 40 + -64 Combine like terms: 40 + -64 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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