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Simplifying 100 = 30 + 25(x + -3) Reorder the terms: 100 = 30 + 25(-3 + x) 100 = 30 + (-3 * 25 + x * 25) 100 = 30 + (-75 + 25x) Combine like terms: 30 + -75 = -45 100 = -45 + 25x Solving 100 = -45 + 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. 100 + -25x = -45 + 25x + -25x Combine like terms: 25x + -25x = 0 100 + -25x = -45 + 0 100 + -25x = -45 Add '-100' to each side of the equation. 100 + -100 + -25x = -45 + -100 Combine like terms: 100 + -100 = 0 0 + -25x = -45 + -100 -25x = -45 + -100 Combine like terms: -45 + -100 = -145 -25x = -145 Divide each side by '-25'. x = 5.8 Simplifying x = 5.8
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