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Simplifying 2(8x + 2) = 10(8x + 8) Reorder the terms: 2(2 + 8x) = 10(8x + 8) (2 * 2 + 8x * 2) = 10(8x + 8) (4 + 16x) = 10(8x + 8) Reorder the terms: 4 + 16x = 10(8 + 8x) 4 + 16x = (8 * 10 + 8x * 10) 4 + 16x = (80 + 80x) Solving 4 + 16x = 80 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 4 + 16x + -80x = 80 + 80x + -80x Combine like terms: 16x + -80x = -64x 4 + -64x = 80 + 80x + -80x Combine like terms: 80x + -80x = 0 4 + -64x = 80 + 0 4 + -64x = 80 Add '-4' to each side of the equation. 4 + -4 + -64x = 80 + -4 Combine like terms: 4 + -4 = 0 0 + -64x = 80 + -4 -64x = 80 + -4 Combine like terms: 80 + -4 = 76 -64x = 76 Divide each side by '-64'. x = -1.1875 Simplifying x = -1.1875
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