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Simplifying 3x + -1 = 0.5(x + 5) Reorder the terms: -1 + 3x = 0.5(x + 5) Reorder the terms: -1 + 3x = 0.5(5 + x) -1 + 3x = (5 * 0.5 + x * 0.5) -1 + 3x = (2.5 + 0.5x) Solving -1 + 3x = 2.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -1 + 3x + -0.5x = 2.5 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x -1 + 2.5x = 2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1 + 2.5x = 2.5 + 0.0 -1 + 2.5x = 2.5 Add '1' to each side of the equation. -1 + 1 + 2.5x = 2.5 + 1 Combine like terms: -1 + 1 = 0 0 + 2.5x = 2.5 + 1 2.5x = 2.5 + 1 Combine like terms: 2.5 + 1 = 3.5 2.5x = 3.5 Divide each side by '2.5'. x = 1.4 Simplifying x = 1.4
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