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Simplifying 4.8x + 52 = 3.2x + -20 Reorder the terms: 52 + 4.8x = 3.2x + -20 Reorder the terms: 52 + 4.8x = -20 + 3.2x Solving 52 + 4.8x = -20 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 52 + 4.8x + -3.2x = -20 + 3.2x + -3.2x Combine like terms: 4.8x + -3.2x = 1.6x 52 + 1.6x = -20 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 52 + 1.6x = -20 + 0.0 52 + 1.6x = -20 Add '-52' to each side of the equation. 52 + -52 + 1.6x = -20 + -52 Combine like terms: 52 + -52 = 0 0 + 1.6x = -20 + -52 1.6x = -20 + -52 Combine like terms: -20 + -52 = -72 1.6x = -72 Divide each side by '1.6'. x = -45 Simplifying x = -45
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