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Simplifying 2.4x + 1.35 = 3.75x + 13.5 Reorder the terms: 1.35 + 2.4x = 3.75x + 13.5 Reorder the terms: 1.35 + 2.4x = 13.5 + 3.75x Solving 1.35 + 2.4x = 13.5 + 3.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75x' to each side of the equation. 1.35 + 2.4x + -3.75x = 13.5 + 3.75x + -3.75x Combine like terms: 2.4x + -3.75x = -1.35x 1.35 + -1.35x = 13.5 + 3.75x + -3.75x Combine like terms: 3.75x + -3.75x = 0.00 1.35 + -1.35x = 13.5 + 0.00 1.35 + -1.35x = 13.5 Add '-1.35' to each side of the equation. 1.35 + -1.35 + -1.35x = 13.5 + -1.35 Combine like terms: 1.35 + -1.35 = 0.00 0.00 + -1.35x = 13.5 + -1.35 -1.35x = 13.5 + -1.35 Combine like terms: 13.5 + -1.35 = 12.15 -1.35x = 12.15 Divide each side by '-1.35'. x = -9 Simplifying x = -9
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