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Simplifying 2.9x + 7.5 = 1.4x + 12.75 Reorder the terms: 7.5 + 2.9x = 1.4x + 12.75 Reorder the terms: 7.5 + 2.9x = 12.75 + 1.4x Solving 7.5 + 2.9x = 12.75 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. 7.5 + 2.9x + -1.4x = 12.75 + 1.4x + -1.4x Combine like terms: 2.9x + -1.4x = 1.5x 7.5 + 1.5x = 12.75 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 7.5 + 1.5x = 12.75 + 0.0 7.5 + 1.5x = 12.75 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 1.5x = 12.75 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 1.5x = 12.75 + -7.5 1.5x = 12.75 + -7.5 Combine like terms: 12.75 + -7.5 = 5.25 1.5x = 5.25 Divide each side by '1.5'. x = 3.5 Simplifying x = 3.5
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