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Simplifying 2.8x + 96 = 5.3x + 1 Reorder the terms: 96 + 2.8x = 5.3x + 1 Reorder the terms: 96 + 2.8x = 1 + 5.3x Solving 96 + 2.8x = 1 + 5.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.3x' to each side of the equation. 96 + 2.8x + -5.3x = 1 + 5.3x + -5.3x Combine like terms: 2.8x + -5.3x = -2.5x 96 + -2.5x = 1 + 5.3x + -5.3x Combine like terms: 5.3x + -5.3x = 0.0 96 + -2.5x = 1 + 0.0 96 + -2.5x = 1 Add '-96' to each side of the equation. 96 + -96 + -2.5x = 1 + -96 Combine like terms: 96 + -96 = 0 0 + -2.5x = 1 + -96 -2.5x = 1 + -96 Combine like terms: 1 + -96 = -95 -2.5x = -95 Divide each side by '-2.5'. x = 38 Simplifying x = 38
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