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Simplifying 0.5x + 3 = 19 + 6x Reorder the terms: 3 + 0.5x = 19 + 6x Solving 3 + 0.5x = 19 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 0.5x + -6x = 19 + 6x + -6x Combine like terms: 0.5x + -6x = -5.5x 3 + -5.5x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -5.5x = 19 + 0 3 + -5.5x = 19 Add '-3' to each side of the equation. 3 + -3 + -5.5x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -5.5x = 19 + -3 -5.5x = 19 + -3 Combine like terms: 19 + -3 = 16 -5.5x = 16 Divide each side by '-5.5'. x = -2.909090909 Simplifying x = -2.909090909
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