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Simplifying 0.14x + -0.54 = 1.42x + -0.74x + -3.523 Reorder the terms: -0.54 + 0.14x = 1.42x + -0.74x + -3.523 Reorder the terms: -0.54 + 0.14x = -3.523 + 1.42x + -0.74x Combine like terms: 1.42x + -0.74x = 0.68x -0.54 + 0.14x = -3.523 + 0.68x Solving -0.54 + 0.14x = -3.523 + 0.68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.68x' to each side of the equation. -0.54 + 0.14x + -0.68x = -3.523 + 0.68x + -0.68x Combine like terms: 0.14x + -0.68x = -0.54x -0.54 + -0.54x = -3.523 + 0.68x + -0.68x Combine like terms: 0.68x + -0.68x = 0.00 -0.54 + -0.54x = -3.523 + 0.00 -0.54 + -0.54x = -3.523 Add '0.54' to each side of the equation. -0.54 + 0.54 + -0.54x = -3.523 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + -0.54x = -3.523 + 0.54 -0.54x = -3.523 + 0.54 Combine like terms: -3.523 + 0.54 = -2.983 -0.54x = -2.983 Divide each side by '-0.54'. x = 5.524074074 Simplifying x = 5.524074074
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