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Simplifying 0.5(7x + -3) = 3x Reorder the terms: 0.5(-3 + 7x) = 3x (-3 * 0.5 + 7x * 0.5) = 3x (-1.5 + 3.5x) = 3x Solving -1.5 + 3.5x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1.5 + 3.5x + -3x = 3x + -3x Combine like terms: 3.5x + -3x = 0.5x -1.5 + 0.5x = 3x + -3x Combine like terms: 3x + -3x = 0 -1.5 + 0.5x = 0 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.5x = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.5x = 0 + 1.5 0.5x = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 0.5x = 1.5 Divide each side by '0.5'. x = 3 Simplifying x = 3
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