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Simplifying 5(x + -1) + -1.5 = 25(x + -3) Reorder the terms: 5(-1 + x) + -1.5 = 25(x + -3) (-1 * 5 + x * 5) + -1.5 = 25(x + -3) (-5 + 5x) + -1.5 = 25(x + -3) Reorder the terms: -5 + -1.5 + 5x = 25(x + -3) Combine like terms: -5 + -1.5 = -6.5 -6.5 + 5x = 25(x + -3) Reorder the terms: -6.5 + 5x = 25(-3 + x) -6.5 + 5x = (-3 * 25 + x * 25) -6.5 + 5x = (-75 + 25x) Solving -6.5 + 5x = -75 + 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. -6.5 + 5x + -25x = -75 + 25x + -25x Combine like terms: 5x + -25x = -20x -6.5 + -20x = -75 + 25x + -25x Combine like terms: 25x + -25x = 0 -6.5 + -20x = -75 + 0 -6.5 + -20x = -75 Add '6.5' to each side of the equation. -6.5 + 6.5 + -20x = -75 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + -20x = -75 + 6.5 -20x = -75 + 6.5 Combine like terms: -75 + 6.5 = -68.5 -20x = -68.5 Divide each side by '-20'. x = 3.425 Simplifying x = 3.425
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