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Simplifying 0.6x + 6.57 = -0.4x + 8.77 Reorder the terms: 6.57 + 0.6x = -0.4x + 8.77 Reorder the terms: 6.57 + 0.6x = 8.77 + -0.4x Solving 6.57 + 0.6x = 8.77 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 6.57 + 0.6x + 0.4x = 8.77 + -0.4x + 0.4x Combine like terms: 0.6x + 0.4x = 1x 6.57 + 1x = 8.77 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 6.57 + 1x = 8.77 + 0.0 6.57 + 1x = 8.77 Add '-6.57' to each side of the equation. 6.57 + -6.57 + 1x = 8.77 + -6.57 Combine like terms: 6.57 + -6.57 = 0.00 0.00 + 1x = 8.77 + -6.57 1x = 8.77 + -6.57 Combine like terms: 8.77 + -6.57 = 2.2 1x = 2.2 Divide each side by '1'. x = 2.2 Simplifying x = 2.2
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