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Simplifying (0.4x + -41.7) * 3 = 0.4x + -41 Reorder the terms: (-41.7 + 0.4x) * 3 = 0.4x + -41 Reorder the terms for easier multiplication: 3(-41.7 + 0.4x) = 0.4x + -41 (-41.7 * 3 + 0.4x * 3) = 0.4x + -41 (-125.1 + 1.2x) = 0.4x + -41 Reorder the terms: -125.1 + 1.2x = -41 + 0.4x Solving -125.1 + 1.2x = -41 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -125.1 + 1.2x + -0.4x = -41 + 0.4x + -0.4x Combine like terms: 1.2x + -0.4x = 0.8x -125.1 + 0.8x = -41 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -125.1 + 0.8x = -41 + 0.0 -125.1 + 0.8x = -41 Add '125.1' to each side of the equation. -125.1 + 125.1 + 0.8x = -41 + 125.1 Combine like terms: -125.1 + 125.1 = 0.0 0.0 + 0.8x = -41 + 125.1 0.8x = -41 + 125.1 Combine like terms: -41 + 125.1 = 84.1 0.8x = 84.1 Divide each side by '0.8'. x = 105.125 Simplifying x = 105.125
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