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Simplifying 2.8x + 65 = 5.3x + 10 Reorder the terms: 65 + 2.8x = 5.3x + 10 Reorder the terms: 65 + 2.8x = 10 + 5.3x Solving 65 + 2.8x = 10 + 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. 65 + 2.8x + -5.3x = 10 + 5.3x + -5.3x Combine like terms: 2.8x + -5.3x = -2.5x 65 + -2.5x = 10 + 5.3x + -5.3x Combine like terms: 5.3x + -5.3x = 0.0 65 + -2.5x = 10 + 0.0 65 + -2.5x = 10 Add '-65' to each side of the equation. 65 + -65 + -2.5x = 10 + -65 Combine like terms: 65 + -65 = 0 0 + -2.5x = 10 + -65 -2.5x = 10 + -65 Combine like terms: 10 + -65 = -55 -2.5x = -55 Divide each side by '-2.5'. x = 22 Simplifying x = 22
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