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Simplifying 0.5x + 2.49 = -0.07x + 6.69 Reorder the terms: 2.49 + 0.5x = -0.07x + 6.69 Reorder the terms: 2.49 + 0.5x = 6.69 + -0.07x Solving 2.49 + 0.5x = 6.69 + -0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.07x' to each side of the equation. 2.49 + 0.5x + 0.07x = 6.69 + -0.07x + 0.07x Combine like terms: 0.5x + 0.07x = 0.57x 2.49 + 0.57x = 6.69 + -0.07x + 0.07x Combine like terms: -0.07x + 0.07x = 0.00 2.49 + 0.57x = 6.69 + 0.00 2.49 + 0.57x = 6.69 Add '-2.49' to each side of the equation. 2.49 + -2.49 + 0.57x = 6.69 + -2.49 Combine like terms: 2.49 + -2.49 = 0.00 0.00 + 0.57x = 6.69 + -2.49 0.57x = 6.69 + -2.49 Combine like terms: 6.69 + -2.49 = 4.2 0.57x = 4.2 Divide each side by '0.57'. x = 7.368421053 Simplifying x = 7.368421053
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