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Simplifying 1.5x + 5 = 0.75x + 1 Reorder the terms: 5 + 1.5x = 0.75x + 1 Reorder the terms: 5 + 1.5x = 1 + 0.75x Solving 5 + 1.5x = 1 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 5 + 1.5x + -0.75x = 1 + 0.75x + -0.75x Combine like terms: 1.5x + -0.75x = 0.75x 5 + 0.75x = 1 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 5 + 0.75x = 1 + 0.00 5 + 0.75x = 1 Add '-5' to each side of the equation. 5 + -5 + 0.75x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 0.75x = 1 + -5 0.75x = 1 + -5 Combine like terms: 1 + -5 = -4 0.75x = -4 Divide each side by '0.75'. x = -5.333333333 Simplifying x = -5.333333333
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