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Simplifying 10.6x + 58.54 = -9.4x + 58 Reorder the terms: 58.54 + 10.6x = -9.4x + 58 Reorder the terms: 58.54 + 10.6x = 58 + -9.4x Solving 58.54 + 10.6x = 58 + -9.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.4x' to each side of the equation. 58.54 + 10.6x + 9.4x = 58 + -9.4x + 9.4x Combine like terms: 10.6x + 9.4x = 20x 58.54 + 20x = 58 + -9.4x + 9.4x Combine like terms: -9.4x + 9.4x = 0.0 58.54 + 20x = 58 + 0.0 58.54 + 20x = 58 Add '-58.54' to each side of the equation. 58.54 + -58.54 + 20x = 58 + -58.54 Combine like terms: 58.54 + -58.54 = 0.00 0.00 + 20x = 58 + -58.54 20x = 58 + -58.54 Combine like terms: 58 + -58.54 = -0.54 20x = -0.54 Divide each side by '20'. x = -0.027 Simplifying x = -0.027
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