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Simplifying 4.2(5x + -7) + -2.5(2 + -4x) = 120 Reorder the terms: 4.2(-7 + 5x) + -2.5(2 + -4x) = 120 (-7 * 4.2 + 5x * 4.2) + -2.5(2 + -4x) = 120 (-29.4 + 21x) + -2.5(2 + -4x) = 120 -29.4 + 21x + (2 * -2.5 + -4x * -2.5) = 120 -29.4 + 21x + (-5 + 10x) = 120 Reorder the terms: -29.4 + -5 + 21x + 10x = 120 Combine like terms: -29.4 + -5 = -34.4 -34.4 + 21x + 10x = 120 Combine like terms: 21x + 10x = 31x -34.4 + 31x = 120 Solving -34.4 + 31x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34.4' to each side of the equation. -34.4 + 34.4 + 31x = 120 + 34.4 Combine like terms: -34.4 + 34.4 = 0.0 0.0 + 31x = 120 + 34.4 31x = 120 + 34.4 Combine like terms: 120 + 34.4 = 154.4 31x = 154.4 Divide each side by '31'. x = 4.980645161 Simplifying x = 4.980645161
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