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Simplifying 5.3x + 8 = 2.8x + -12 Reorder the terms: 8 + 5.3x = 2.8x + -12 Reorder the terms: 8 + 5.3x = -12 + 2.8x Solving 8 + 5.3x = -12 + 2.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.8x' to each side of the equation. 8 + 5.3x + -2.8x = -12 + 2.8x + -2.8x Combine like terms: 5.3x + -2.8x = 2.5x 8 + 2.5x = -12 + 2.8x + -2.8x Combine like terms: 2.8x + -2.8x = 0.0 8 + 2.5x = -12 + 0.0 8 + 2.5x = -12 Add '-8' to each side of the equation. 8 + -8 + 2.5x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 2.5x = -12 + -8 2.5x = -12 + -8 Combine like terms: -12 + -8 = -20 2.5x = -20 Divide each side by '2.5'. x = -8 Simplifying x = -8
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