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Simplifying 2.3x + -52.46 = -0.9(x + -117) Reorder the terms: -52.46 + 2.3x = -0.9(x + -117) Reorder the terms: -52.46 + 2.3x = -0.9(-117 + x) -52.46 + 2.3x = (-117 * -0.9 + x * -0.9) -52.46 + 2.3x = (105.3 + -0.9x) Solving -52.46 + 2.3x = 105.3 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. -52.46 + 2.3x + 0.9x = 105.3 + -0.9x + 0.9x Combine like terms: 2.3x + 0.9x = 3.2x -52.46 + 3.2x = 105.3 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 -52.46 + 3.2x = 105.3 + 0.0 -52.46 + 3.2x = 105.3 Add '52.46' to each side of the equation. -52.46 + 52.46 + 3.2x = 105.3 + 52.46 Combine like terms: -52.46 + 52.46 = 0.00 0.00 + 3.2x = 105.3 + 52.46 3.2x = 105.3 + 52.46 Combine like terms: 105.3 + 52.46 = 157.76 3.2x = 157.76 Divide each side by '3.2'. x = 49.3 Simplifying x = 49.3
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