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Simplifying 100 = 4.50x + -1(1.25x + 130) Reorder the terms: 100 = 4.50x + -1(130 + 1.25x) 100 = 4.50x + (130 * -1 + 1.25x * -1) 100 = 4.50x + (-130 + -1.25x) Reorder the terms: 100 = -130 + 4.50x + -1.25x Combine like terms: 4.50x + -1.25x = 3.25x 100 = -130 + 3.25x Solving 100 = -130 + 3.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.25x' to each side of the equation. 100 + -3.25x = -130 + 3.25x + -3.25x Combine like terms: 3.25x + -3.25x = 0.00 100 + -3.25x = -130 + 0.00 100 + -3.25x = -130 Add '-100' to each side of the equation. 100 + -100 + -3.25x = -130 + -100 Combine like terms: 100 + -100 = 0 0 + -3.25x = -130 + -100 -3.25x = -130 + -100 Combine like terms: -130 + -100 = -230 -3.25x = -230 Divide each side by '-3.25'. x = 70.76923077 Simplifying x = 70.76923077
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