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Simplifying -14 = 2.5x + 0.5(x + 8) Reorder the terms: -14 = 2.5x + 0.5(8 + x) -14 = 2.5x + (8 * 0.5 + x * 0.5) -14 = 2.5x + (4 + 0.5x) Reorder the terms: -14 = 4 + 2.5x + 0.5x Combine like terms: 2.5x + 0.5x = 3x -14 = 4 + 3x Solving -14 = 4 + 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. -14 + -3x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + -3x = 4 + 0 -14 + -3x = 4 Add '14' to each side of the equation. -14 + 14 + -3x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 4 + 14 -3x = 4 + 14 Combine like terms: 4 + 14 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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