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Simplifying 14 = 0.5(3x + -12 + 2x + 5) Reorder the terms: 14 = 0.5(-12 + 5 + 3x + 2x) Combine like terms: -12 + 5 = -7 14 = 0.5(-7 + 3x + 2x) Combine like terms: 3x + 2x = 5x 14 = 0.5(-7 + 5x) 14 = (-7 * 0.5 + 5x * 0.5) 14 = (-3.5 + 2.5x) Solving 14 = -3.5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 14 + -2.5x = -3.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 14 + -2.5x = -3.5 + 0.0 14 + -2.5x = -3.5 Add '-14' to each side of the equation. 14 + -14 + -2.5x = -3.5 + -14 Combine like terms: 14 + -14 = 0 0 + -2.5x = -3.5 + -14 -2.5x = -3.5 + -14 Combine like terms: -3.5 + -14 = -17.5 -2.5x = -17.5 Divide each side by '-2.5'. x = 7 Simplifying x = 7
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