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Simplifying 3x + 13 = 7.50x + 16 Reorder the terms: 13 + 3x = 7.50x + 16 Reorder the terms: 13 + 3x = 16 + 7.50x Solving 13 + 3x = 16 + 7.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.50x' to each side of the equation. 13 + 3x + -7.50x = 16 + 7.50x + -7.50x Combine like terms: 3x + -7.50x = -4.5x 13 + -4.5x = 16 + 7.50x + -7.50x Combine like terms: 7.50x + -7.50x = 0.00 13 + -4.5x = 16 + 0.00 13 + -4.5x = 16 Add '-13' to each side of the equation. 13 + -13 + -4.5x = 16 + -13 Combine like terms: 13 + -13 = 0 0 + -4.5x = 16 + -13 -4.5x = 16 + -13 Combine like terms: 16 + -13 = 3 -4.5x = 3 Divide each side by '-4.5'. x = -0.6666666667 Simplifying x = -0.6666666667
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