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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 = -6 -1.5x = -6 Divide each side by '-1.5'. x = 4 Simplifying x = 4
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