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Simplifying -0.8x + 6.47 = -0.3x + 4.97 Reorder the terms: 6.47 + -0.8x = -0.3x + 4.97 Reorder the terms: 6.47 + -0.8x = 4.97 + -0.3x Solving 6.47 + -0.8x = 4.97 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 6.47 + -0.8x + 0.3x = 4.97 + -0.3x + 0.3x Combine like terms: -0.8x + 0.3x = -0.5x 6.47 + -0.5x = 4.97 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 6.47 + -0.5x = 4.97 + 0.0 6.47 + -0.5x = 4.97 Add '-6.47' to each side of the equation. 6.47 + -6.47 + -0.5x = 4.97 + -6.47 Combine like terms: 6.47 + -6.47 = 0.00 0.00 + -0.5x = 4.97 + -6.47 -0.5x = 4.97 + -6.47 Combine like terms: 4.97 + -6.47 = -1.5 -0.5x = -1.5 Divide each side by '-0.5'. x = 3 Simplifying x = 3
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