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Simplifying 5.3x + 1 = 3.8x + -11 Reorder the terms: 1 + 5.3x = 3.8x + -11 Reorder the terms: 1 + 5.3x = -11 + 3.8x Solving 1 + 5.3x = -11 + 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. 1 + 5.3x + -3.8x = -11 + 3.8x + -3.8x Combine like terms: 5.3x + -3.8x = 1.5x 1 + 1.5x = -11 + 3.8x + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 1 + 1.5x = -11 + 0.0 1 + 1.5x = -11 Add '-1' to each side of the equation. 1 + -1 + 1.5x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 1.5x = -11 + -1 1.5x = -11 + -1 Combine like terms: -11 + -1 = -12 1.5x = -12 Divide each side by '1.5'. x = -8 Simplifying x = -8
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