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Simplifying -7.1x + -5.2 = 0.785 + -5.9x + -3.3x Reorder the terms: -5.2 + -7.1x = 0.785 + -5.9x + -3.3x Combine like terms: -5.9x + -3.3x = -9.2x -5.2 + -7.1x = 0.785 + -9.2x Solving -5.2 + -7.1x = 0.785 + -9.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.2x' to each side of the equation. -5.2 + -7.1x + 9.2x = 0.785 + -9.2x + 9.2x Combine like terms: -7.1x + 9.2x = 2.1x -5.2 + 2.1x = 0.785 + -9.2x + 9.2x Combine like terms: -9.2x + 9.2x = 0.0 -5.2 + 2.1x = 0.785 + 0.0 -5.2 + 2.1x = 0.785 Add '5.2' to each side of the equation. -5.2 + 5.2 + 2.1x = 0.785 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 2.1x = 0.785 + 5.2 2.1x = 0.785 + 5.2 Combine like terms: 0.785 + 5.2 = 5.985 2.1x = 5.985 Divide each side by '2.1'. x = 2.85 Simplifying x = 2.85
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