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Simplifying 0.12x + 0.53x + -8 = -0.92x + 0.57x + 4 Reorder the terms: -8 + 0.12x + 0.53x = -0.92x + 0.57x + 4 Combine like terms: 0.12x + 0.53x = 0.65x -8 + 0.65x = -0.92x + 0.57x + 4 Reorder the terms: -8 + 0.65x = 4 + -0.92x + 0.57x Combine like terms: -0.92x + 0.57x = -0.35x -8 + 0.65x = 4 + -0.35x Solving -8 + 0.65x = 4 + -0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.35x' to each side of the equation. -8 + 0.65x + 0.35x = 4 + -0.35x + 0.35x Combine like terms: 0.65x + 0.35x = 1x -8 + 1x = 4 + -0.35x + 0.35x Combine like terms: -0.35x + 0.35x = 0.00 -8 + 1x = 4 + 0.00 -8 + 1x = 4 Add '8' to each side of the equation. -8 + 8 + 1x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 4 + 8 1x = 4 + 8 Combine like terms: 4 + 8 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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