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Simplifying 5.3x + 5 = 3.8x + -4 Reorder the terms: 5 + 5.3x = 3.8x + -4 Reorder the terms: 5 + 5.3x = -4 + 3.8x Solving 5 + 5.3x = -4 + 3.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8x' to each side of the equation. 5 + 5.3x + -3.8x = -4 + 3.8x + -3.8x Combine like terms: 5.3x + -3.8x = 1.5x 5 + 1.5x = -4 + 3.8x + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 5 + 1.5x = -4 + 0.0 5 + 1.5x = -4 Add '-5' to each side of the equation. 5 + -5 + 1.5x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 1.5x = -4 + -5 1.5x = -4 + -5 Combine like terms: -4 + -5 = -9 1.5x = -9 Divide each side by '1.5'. x = -6 Simplifying x = -6
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