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Simplifying 1.5x + 8x = 3x + 117 Combine like terms: 1.5x + 8x = 9.5x 9.5x = 3x + 117 Reorder the terms: 9.5x = 117 + 3x Solving 9.5x = 117 + 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. 9.5x + -3x = 117 + 3x + -3x Combine like terms: 9.5x + -3x = 6.5x 6.5x = 117 + 3x + -3x Combine like terms: 3x + -3x = 0 6.5x = 117 + 0 6.5x = 117 Divide each side by '6.5'. x = 18 Simplifying x = 18
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