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Simplifying 0.48 + 0.31(x + -1) + 2.42 = 4.14 Reorder the terms: 0.48 + 0.31(-1 + x) + 2.42 = 4.14 0.48 + (-1 * 0.31 + x * 0.31) + 2.42 = 4.14 0.48 + (-0.31 + 0.31x) + 2.42 = 4.14 Reorder the terms: 0.48 + -0.31 + 2.42 + 0.31x = 4.14 Combine like terms: 0.48 + -0.31 = 0.17 0.17 + 2.42 + 0.31x = 4.14 Combine like terms: 0.17 + 2.42 = 2.59 2.59 + 0.31x = 4.14 Solving 2.59 + 0.31x = 4.14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.59' to each side of the equation. 2.59 + -2.59 + 0.31x = 4.14 + -2.59 Combine like terms: 2.59 + -2.59 = 0.00 0.00 + 0.31x = 4.14 + -2.59 0.31x = 4.14 + -2.59 Combine like terms: 4.14 + -2.59 = 1.55 0.31x = 1.55 Divide each side by '0.31'. x = 5 Simplifying x = 5
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