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Simplifying 6.2(3x + -8) + -4.3(5 + -2x) = 37.7 Reorder the terms: 6.2(-8 + 3x) + -4.3(5 + -2x) = 37.7 (-8 * 6.2 + 3x * 6.2) + -4.3(5 + -2x) = 37.7 (-49.6 + 18.6x) + -4.3(5 + -2x) = 37.7 -49.6 + 18.6x + (5 * -4.3 + -2x * -4.3) = 37.7 -49.6 + 18.6x + (-21.5 + 8.6x) = 37.7 Reorder the terms: -49.6 + -21.5 + 18.6x + 8.6x = 37.7 Combine like terms: -49.6 + -21.5 = -71.1 -71.1 + 18.6x + 8.6x = 37.7 Combine like terms: 18.6x + 8.6x = 27.2x -71.1 + 27.2x = 37.7 Solving -71.1 + 27.2x = 37.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '71.1' to each side of the equation. -71.1 + 71.1 + 27.2x = 37.7 + 71.1 Combine like terms: -71.1 + 71.1 = 0.0 0.0 + 27.2x = 37.7 + 71.1 27.2x = 37.7 + 71.1 Combine like terms: 37.7 + 71.1 = 108.8 27.2x = 108.8 Divide each side by '27.2'. x = 4 Simplifying x = 4
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