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Simplifying -3x + 14 = 1.5x + 5 Reorder the terms: 14 + -3x = 1.5x + 5 Reorder the terms: 14 + -3x = 5 + 1.5x Solving 14 + -3x = 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 = 5 + 1.5x + -1.5x Combine like terms: -3x + -1.5x = -4.5x 14 + -4.5x = 5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 14 + -4.5x = 5 + 0.0 14 + -4.5x = 5 Add '-14' to each side of the equation. 14 + -14 + -4.5x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -4.5x = 5 + -14 -4.5x = 5 + -14 Combine like terms: 5 + -14 = -9 -4.5x = -9 Divide each side by '-4.5'. x = 2 Simplifying x = 2
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