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Simplifying -25(x + -100) = 16(x + -100) Reorder the terms: -25(-100 + x) = 16(x + -100) (-100 * -25 + x * -25) = 16(x + -100) (2500 + -25x) = 16(x + -100) Reorder the terms: 2500 + -25x = 16(-100 + x) 2500 + -25x = (-100 * 16 + x * 16) 2500 + -25x = (-1600 + 16x) Solving 2500 + -25x = -1600 + 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. 2500 + -25x + -16x = -1600 + 16x + -16x Combine like terms: -25x + -16x = -41x 2500 + -41x = -1600 + 16x + -16x Combine like terms: 16x + -16x = 0 2500 + -41x = -1600 + 0 2500 + -41x = -1600 Add '-2500' to each side of the equation. 2500 + -2500 + -41x = -1600 + -2500 Combine like terms: 2500 + -2500 = 0 0 + -41x = -1600 + -2500 -41x = -1600 + -2500 Combine like terms: -1600 + -2500 = -4100 -41x = -4100 Divide each side by '-41'. x = 100 Simplifying x = 100
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