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Simplifying 3x + -14 = 0.5(x + 6 + 2x + -1) Reorder the terms: -14 + 3x = 0.5(x + 6 + 2x + -1) Reorder the terms: -14 + 3x = 0.5(6 + -1 + x + 2x) Combine like terms: 6 + -1 = 5 -14 + 3x = 0.5(5 + x + 2x) Combine like terms: x + 2x = 3x -14 + 3x = 0.5(5 + 3x) -14 + 3x = (5 * 0.5 + 3x * 0.5) -14 + 3x = (2.5 + 1.5x) Solving -14 + 3x = 2.5 + 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. -14 + 3x + -1.5x = 2.5 + 1.5x + -1.5x Combine like terms: 3x + -1.5x = 1.5x -14 + 1.5x = 2.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -14 + 1.5x = 2.5 + 0.0 -14 + 1.5x = 2.5 Add '14' to each side of the equation. -14 + 14 + 1.5x = 2.5 + 14 Combine like terms: -14 + 14 = 0 0 + 1.5x = 2.5 + 14 1.5x = 2.5 + 14 Combine like terms: 2.5 + 14 = 16.5 1.5x = 16.5 Divide each side by '1.5'. x = 11 Simplifying x = 11
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