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Simplifying 5(8 + -2x) = 2 + 16(4 + x) (8 * 5 + -2x * 5) = 2 + 16(4 + x) (40 + -10x) = 2 + 16(4 + x) 40 + -10x = 2 + (4 * 16 + x * 16) 40 + -10x = 2 + (64 + 16x) Combine like terms: 2 + 64 = 66 40 + -10x = 66 + 16x Solving 40 + -10x = 66 + 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. 40 + -10x + -16x = 66 + 16x + -16x Combine like terms: -10x + -16x = -26x 40 + -26x = 66 + 16x + -16x Combine like terms: 16x + -16x = 0 40 + -26x = 66 + 0 40 + -26x = 66 Add '-40' to each side of the equation. 40 + -40 + -26x = 66 + -40 Combine like terms: 40 + -40 = 0 0 + -26x = 66 + -40 -26x = 66 + -40 Combine like terms: 66 + -40 = 26 -26x = 26 Divide each side by '-26'. x = -1 Simplifying x = -1
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