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Simplifying 1.5x + 5 = 3x + 14 Reorder the terms: 5 + 1.5x = 3x + 14 Reorder the terms: 5 + 1.5x = 14 + 3x Solving 5 + 1.5x = 14 + 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. 5 + 1.5x + -3x = 14 + 3x + -3x Combine like terms: 1.5x + -3x = -1.5x 5 + -1.5x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -1.5x = 14 + 0 5 + -1.5x = 14 Add '-5' to each side of the equation. 5 + -5 + -1.5x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -1.5x = 14 + -5 -1.5x = 14 + -5 Combine like terms: 14 + -5 = 9 -1.5x = 9 Divide each side by '-1.5'. x = -6 Simplifying x = -6
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