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Simplifying 2x + -1 = 0.75(2x + 1) Reorder the terms: -1 + 2x = 0.75(2x + 1) Reorder the terms: -1 + 2x = 0.75(1 + 2x) -1 + 2x = (1 * 0.75 + 2x * 0.75) -1 + 2x = (0.75 + 1.5x) Solving -1 + 2x = 0.75 + 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 + 2x + -1.5x = 0.75 + 1.5x + -1.5x Combine like terms: 2x + -1.5x = 0.5x -1 + 0.5x = 0.75 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -1 + 0.5x = 0.75 + 0.0 -1 + 0.5x = 0.75 Add '1' to each side of the equation. -1 + 1 + 0.5x = 0.75 + 1 Combine like terms: -1 + 1 = 0 0 + 0.5x = 0.75 + 1 0.5x = 0.75 + 1 Combine like terms: 0.75 + 1 = 1.75 0.5x = 1.75 Divide each side by '0.5'. x = 3.5 Simplifying x = 3.5
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