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Simplifying 4.50x + -1(130 + 125x) = 3x + -115 4.50x + (130 * -1 + 125x * -1) = 3x + -115 4.50x + (-130 + -125x) = 3x + -115 Reorder the terms: -130 + 4.50x + -125x = 3x + -115 Combine like terms: 4.50x + -125x = -120.5x -130 + -120.5x = 3x + -115 Reorder the terms: -130 + -120.5x = -115 + 3x Solving -130 + -120.5x = -115 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -130 + -120.5x + -3x = -115 + 3x + -3x Combine like terms: -120.5x + -3x = -123.5x -130 + -123.5x = -115 + 3x + -3x Combine like terms: 3x + -3x = 0 -130 + -123.5x = -115 + 0 -130 + -123.5x = -115 Add '130' to each side of the equation. -130 + 130 + -123.5x = -115 + 130 Combine like terms: -130 + 130 = 0 0 + -123.5x = -115 + 130 -123.5x = -115 + 130 Combine like terms: -115 + 130 = 15 -123.5x = 15 Divide each side by '-123.5'. x = -0.1214574899 Simplifying x = -0.1214574899
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