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Simplifying 2.92x + 9 = 8.5264 + 3x Reorder the terms: 9 + 2.92x = 8.5264 + 3x Solving 9 + 2.92x = 8.5264 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 2.92x + -3x = 8.5264 + 3x + -3x Combine like terms: 2.92x + -3x = -0.08x 9 + -0.08x = 8.5264 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -0.08x = 8.5264 + 0 9 + -0.08x = 8.5264 Add '-9' to each side of the equation. 9 + -9 + -0.08x = 8.5264 + -9 Combine like terms: 9 + -9 = 0 0 + -0.08x = 8.5264 + -9 -0.08x = 8.5264 + -9 Combine like terms: 8.5264 + -9 = -0.4736 -0.08x = -0.4736 Divide each side by '-0.08'. x = 5.92 Simplifying x = 5.92
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