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Simplifying 16(8x + 21) = -25(x + -2) Reorder the terms: 16(21 + 8x) = -25(x + -2) (21 * 16 + 8x * 16) = -25(x + -2) (336 + 128x) = -25(x + -2) Reorder the terms: 336 + 128x = -25(-2 + x) 336 + 128x = (-2 * -25 + x * -25) 336 + 128x = (50 + -25x) Solving 336 + 128x = 50 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 336 + 128x + 25x = 50 + -25x + 25x Combine like terms: 128x + 25x = 153x 336 + 153x = 50 + -25x + 25x Combine like terms: -25x + 25x = 0 336 + 153x = 50 + 0 336 + 153x = 50 Add '-336' to each side of the equation. 336 + -336 + 153x = 50 + -336 Combine like terms: 336 + -336 = 0 0 + 153x = 50 + -336 153x = 50 + -336 Combine like terms: 50 + -336 = -286 153x = -286 Divide each side by '153'. x = -1.869281046 Simplifying x = -1.869281046
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