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Simplifying 4 = 0.5(3x + 4) Reorder the terms: 4 = 0.5(4 + 3x) 4 = (4 * 0.5 + 3x * 0.5) 4 = (2 + 1.5x) Solving 4 = 2 + 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. 4 + -1.5x = 2 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 4 + -1.5x = 2 + 0.0 4 + -1.5x = 2 Add '-4' to each side of the equation. 4 + -4 + -1.5x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -1.5x = 2 + -4 -1.5x = 2 + -4 Combine like terms: 2 + -4 = -2 -1.5x = -2 Divide each side by '-1.5'. x = 1.333333333 Simplifying x = 1.333333333
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