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Simplifying 2(3x + -4.1) = 3x + -8.2 Reorder the terms: 2(-4.1 + 3x) = 3x + -8.2 (-4.1 * 2 + 3x * 2) = 3x + -8.2 (-8.2 + 6x) = 3x + -8.2 Reorder the terms: -8.2 + 6x = -8.2 + 3x Add '8.2' to each side of the equation. -8.2 + 8.2 + 6x = -8.2 + 8.2 + 3x Combine like terms: -8.2 + 8.2 = 0.0 0.0 + 6x = -8.2 + 8.2 + 3x 6x = -8.2 + 8.2 + 3x Combine like terms: -8.2 + 8.2 = 0.0 6x = 0.0 + 3x 6x = 3x Solving 6x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6x + -3x = 3x + -3x Combine like terms: 6x + -3x = 3x 3x = 3x + -3x Combine like terms: 3x + -3x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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