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Simplifying 2(4x + -3) = 3x + -41 Reorder the terms: 2(-3 + 4x) = 3x + -41 (-3 * 2 + 4x * 2) = 3x + -41 (-6 + 8x) = 3x + -41 Reorder the terms: -6 + 8x = -41 + 3x Solving -6 + 8x = -41 + 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. -6 + 8x + -3x = -41 + 3x + -3x Combine like terms: 8x + -3x = 5x -6 + 5x = -41 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 5x = -41 + 0 -6 + 5x = -41 Add '6' to each side of the equation. -6 + 6 + 5x = -41 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -41 + 6 5x = -41 + 6 Combine like terms: -41 + 6 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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