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Simplifying 2x + -3 = 0.5(x + 3) Reorder the terms: -3 + 2x = 0.5(x + 3) Reorder the terms: -3 + 2x = 0.5(3 + x) -3 + 2x = (3 * 0.5 + x * 0.5) -3 + 2x = (1.5 + 0.5x) Solving -3 + 2x = 1.5 + 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. -3 + 2x + -0.5x = 1.5 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x -3 + 1.5x = 1.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3 + 1.5x = 1.5 + 0.0 -3 + 1.5x = 1.5 Add '3' to each side of the equation. -3 + 3 + 1.5x = 1.5 + 3 Combine like terms: -3 + 3 = 0 0 + 1.5x = 1.5 + 3 1.5x = 1.5 + 3 Combine like terms: 1.5 + 3 = 4.5 1.5x = 4.5 Divide each side by '1.5'. x = 3 Simplifying x = 3
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