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Simplifying 1.87(x + -1) = 0.5(3x + -1) + -1 Reorder the terms: 1.87(-1 + x) = 0.5(3x + -1) + -1 (-1 * 1.87 + x * 1.87) = 0.5(3x + -1) + -1 (-1.87 + 1.87x) = 0.5(3x + -1) + -1 Reorder the terms: -1.87 + 1.87x = 0.5(-1 + 3x) + -1 -1.87 + 1.87x = (-1 * 0.5 + 3x * 0.5) + -1 -1.87 + 1.87x = (-0.5 + 1.5x) + -1 Reorder the terms: -1.87 + 1.87x = -0.5 + -1 + 1.5x Combine like terms: -0.5 + -1 = -1.5 -1.87 + 1.87x = -1.5 + 1.5x Solving -1.87 + 1.87x = -1.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -1.87 + 1.87x + -1.5x = -1.5 + 1.5x + -1.5x Combine like terms: 1.87x + -1.5x = 0.37x -1.87 + 0.37x = -1.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -1.87 + 0.37x = -1.5 + 0.0 -1.87 + 0.37x = -1.5 Add '1.87' to each side of the equation. -1.87 + 1.87 + 0.37x = -1.5 + 1.87 Combine like terms: -1.87 + 1.87 = 0.00 0.00 + 0.37x = -1.5 + 1.87 0.37x = -1.5 + 1.87 Combine like terms: -1.5 + 1.87 = 0.37 0.37x = 0.37 Divide each side by '0.37'. x = 1 Simplifying x = 1
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