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Simplifying 6.4 = -4.9x + 5.7x Combine like terms: -4.9x + 5.7x = 0.8x 6.4 = 0.8x Solving 6.4 = 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 6.4 + -0.8x = 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 6.4 + -0.8x = 0.0 Add '-6.4' to each side of the equation. 6.4 + -6.4 + -0.8x = 0.0 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + -0.8x = 0.0 + -6.4 -0.8x = 0.0 + -6.4 Combine like terms: 0.0 + -6.4 = -6.4 -0.8x = -6.4 Divide each side by '-0.8'. x = 8 Simplifying x = 8
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