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Simplifying 3x + -1 = 0.5(5x + 7) Reorder the terms: -1 + 3x = 0.5(5x + 7) Reorder the terms: -1 + 3x = 0.5(7 + 5x) -1 + 3x = (7 * 0.5 + 5x * 0.5) -1 + 3x = (3.5 + 2.5x) Solving -1 + 3x = 3.5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -1 + 3x + -2.5x = 3.5 + 2.5x + -2.5x Combine like terms: 3x + -2.5x = 0.5x -1 + 0.5x = 3.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -1 + 0.5x = 3.5 + 0.0 -1 + 0.5x = 3.5 Add '1' to each side of the equation. -1 + 1 + 0.5x = 3.5 + 1 Combine like terms: -1 + 1 = 0 0 + 0.5x = 3.5 + 1 0.5x = 3.5 + 1 Combine like terms: 3.5 + 1 = 4.5 0.5x = 4.5 Divide each side by '0.5'. x = 9 Simplifying x = 9
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