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Simplifying 5.1x + -96 = 2.9x + 3 Reorder the terms: -96 + 5.1x = 2.9x + 3 Reorder the terms: -96 + 5.1x = 3 + 2.9x Solving -96 + 5.1x = 3 + 2.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.9x' to each side of the equation. -96 + 5.1x + -2.9x = 3 + 2.9x + -2.9x Combine like terms: 5.1x + -2.9x = 2.2x -96 + 2.2x = 3 + 2.9x + -2.9x Combine like terms: 2.9x + -2.9x = 0.0 -96 + 2.2x = 3 + 0.0 -96 + 2.2x = 3 Add '96' to each side of the equation. -96 + 96 + 2.2x = 3 + 96 Combine like terms: -96 + 96 = 0 0 + 2.2x = 3 + 96 2.2x = 3 + 96 Combine like terms: 3 + 96 = 99 2.2x = 99 Divide each side by '2.2'. x = 45 Simplifying x = 45
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