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Simplifying 3(2x + -1) = 0.5(x + 6) Reorder the terms: 3(-1 + 2x) = 0.5(x + 6) (-1 * 3 + 2x * 3) = 0.5(x + 6) (-3 + 6x) = 0.5(x + 6) Reorder the terms: -3 + 6x = 0.5(6 + x) -3 + 6x = (6 * 0.5 + x * 0.5) -3 + 6x = (3 + 0.5x) Solving -3 + 6x = 3 + 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. -3 + 6x + -0.5x = 3 + 0.5x + -0.5x Combine like terms: 6x + -0.5x = 5.5x -3 + 5.5x = 3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3 + 5.5x = 3 + 0.0 -3 + 5.5x = 3 Add '3' to each side of the equation. -3 + 3 + 5.5x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 5.5x = 3 + 3 5.5x = 3 + 3 Combine like terms: 3 + 3 = 6 5.5x = 6 Divide each side by '5.5'. x = 1.090909091 Simplifying x = 1.090909091
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