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Simplifying 5.3x + 88 = 7.8x + 28 Reorder the terms: 88 + 5.3x = 7.8x + 28 Reorder the terms: 88 + 5.3x = 28 + 7.8x Solving 88 + 5.3x = 28 + 7.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.8x' to each side of the equation. 88 + 5.3x + -7.8x = 28 + 7.8x + -7.8x Combine like terms: 5.3x + -7.8x = -2.5x 88 + -2.5x = 28 + 7.8x + -7.8x Combine like terms: 7.8x + -7.8x = 0.0 88 + -2.5x = 28 + 0.0 88 + -2.5x = 28 Add '-88' to each side of the equation. 88 + -88 + -2.5x = 28 + -88 Combine like terms: 88 + -88 = 0 0 + -2.5x = 28 + -88 -2.5x = 28 + -88 Combine like terms: 28 + -88 = -60 -2.5x = -60 Divide each side by '-2.5'. x = 24 Simplifying x = 24
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