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Simplifying -9.2x + -16.2 = 3.4x + 53.1 Reorder the terms: -16.2 + -9.2x = 3.4x + 53.1 Reorder the terms: -16.2 + -9.2x = 53.1 + 3.4x Solving -16.2 + -9.2x = 53.1 + 3.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.4x' to each side of the equation. -16.2 + -9.2x + -3.4x = 53.1 + 3.4x + -3.4x Combine like terms: -9.2x + -3.4x = -12.6x -16.2 + -12.6x = 53.1 + 3.4x + -3.4x Combine like terms: 3.4x + -3.4x = 0.0 -16.2 + -12.6x = 53.1 + 0.0 -16.2 + -12.6x = 53.1 Add '16.2' to each side of the equation. -16.2 + 16.2 + -12.6x = 53.1 + 16.2 Combine like terms: -16.2 + 16.2 = 0.0 0.0 + -12.6x = 53.1 + 16.2 -12.6x = 53.1 + 16.2 Combine like terms: 53.1 + 16.2 = 69.3 -12.6x = 69.3 Divide each side by '-12.6'. x = -5.5 Simplifying x = -5.5
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