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Simplifying 3x + -4 = 0.5(12 + x) Reorder the terms: -4 + 3x = 0.5(12 + x) -4 + 3x = (12 * 0.5 + x * 0.5) -4 + 3x = (6 + 0.5x) Solving -4 + 3x = 6 + 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. -4 + 3x + -0.5x = 6 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x -4 + 2.5x = 6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -4 + 2.5x = 6 + 0.0 -4 + 2.5x = 6 Add '4' to each side of the equation. -4 + 4 + 2.5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 2.5x = 6 + 4 2.5x = 6 + 4 Combine like terms: 6 + 4 = 10 2.5x = 10 Divide each side by '2.5'. x = 4 Simplifying x = 4
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