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Simplifying 14 + -3x = 1.5x + 30 Reorder the terms: 14 + -3x = 30 + 1.5x Solving 14 + -3x = 30 + 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 = 30 + 1.5x + -1.5x Combine like terms: -3x + -1.5x = -4.5x 14 + -4.5x = 30 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 14 + -4.5x = 30 + 0.0 14 + -4.5x = 30 Add '-14' to each side of the equation. 14 + -14 + -4.5x = 30 + -14 Combine like terms: 14 + -14 = 0 0 + -4.5x = 30 + -14 -4.5x = 30 + -14 Combine like terms: 30 + -14 = 16 -4.5x = 16 Divide each side by '-4.5'. x = -3.555555556 Simplifying x = -3.555555556
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