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Simplifying 2x + -13.5 = 0.5(x + 3) Reorder the terms: -13.5 + 2x = 0.5(x + 3) Reorder the terms: -13.5 + 2x = 0.5(3 + x) -13.5 + 2x = (3 * 0.5 + x * 0.5) -13.5 + 2x = (1.5 + 0.5x) Solving -13.5 + 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. -13.5 + 2x + -0.5x = 1.5 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x -13.5 + 1.5x = 1.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -13.5 + 1.5x = 1.5 + 0.0 -13.5 + 1.5x = 1.5 Add '13.5' to each side of the equation. -13.5 + 13.5 + 1.5x = 1.5 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + 1.5x = 1.5 + 13.5 1.5x = 1.5 + 13.5 Combine like terms: 1.5 + 13.5 = 15 1.5x = 15 Divide each side by '1.5'. x = 10 Simplifying x = 10
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