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Simplifying 2.4x + 1 = 7.5x + -5 Reorder the terms: 1 + 2.4x = 7.5x + -5 Reorder the terms: 1 + 2.4x = -5 + 7.5x Solving 1 + 2.4x = -5 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. 1 + 2.4x + -7.5x = -5 + 7.5x + -7.5x Combine like terms: 2.4x + -7.5x = -5.1x 1 + -5.1x = -5 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 1 + -5.1x = -5 + 0.0 1 + -5.1x = -5 Add '-1' to each side of the equation. 1 + -1 + -5.1x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -5.1x = -5 + -1 -5.1x = -5 + -1 Combine like terms: -5 + -1 = -6 -5.1x = -6 Divide each side by '-5.1'. x = 1.176470588 Simplifying x = 1.176470588
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