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Simplifying 0.13x + -4.7 = 0.07x + -0.2 Reorder the terms: -4.7 + 0.13x = 0.07x + -0.2 Reorder the terms: -4.7 + 0.13x = -0.2 + 0.07x Solving -4.7 + 0.13x = -0.2 + 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. -4.7 + 0.13x + -0.07x = -0.2 + 0.07x + -0.07x Combine like terms: 0.13x + -0.07x = 0.06x -4.7 + 0.06x = -0.2 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 -4.7 + 0.06x = -0.2 + 0.00 -4.7 + 0.06x = -0.2 Add '4.7' to each side of the equation. -4.7 + 4.7 + 0.06x = -0.2 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + 0.06x = -0.2 + 4.7 0.06x = -0.2 + 4.7 Combine like terms: -0.2 + 4.7 = 4.5 0.06x = 4.5 Divide each side by '0.06'. x = 75 Simplifying x = 75
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