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Simplifying 5.3x + -3.46 = 7.1x + 5.09 Reorder the terms: -3.46 + 5.3x = 7.1x + 5.09 Reorder the terms: -3.46 + 5.3x = 5.09 + 7.1x Solving -3.46 + 5.3x = 5.09 + 7.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.1x' to each side of the equation. -3.46 + 5.3x + -7.1x = 5.09 + 7.1x + -7.1x Combine like terms: 5.3x + -7.1x = -1.8x -3.46 + -1.8x = 5.09 + 7.1x + -7.1x Combine like terms: 7.1x + -7.1x = 0.0 -3.46 + -1.8x = 5.09 + 0.0 -3.46 + -1.8x = 5.09 Add '3.46' to each side of the equation. -3.46 + 3.46 + -1.8x = 5.09 + 3.46 Combine like terms: -3.46 + 3.46 = 0.00 0.00 + -1.8x = 5.09 + 3.46 -1.8x = 5.09 + 3.46 Combine like terms: 5.09 + 3.46 = 8.55 -1.8x = 8.55 Divide each side by '-1.8'. x = -4.75 Simplifying x = -4.75
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