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Simplifying 2(4x + -2) + -3(2 + -3x) = 41 Reorder the terms: 2(-2 + 4x) + -3(2 + -3x) = 41 (-2 * 2 + 4x * 2) + -3(2 + -3x) = 41 (-4 + 8x) + -3(2 + -3x) = 41 -4 + 8x + (2 * -3 + -3x * -3) = 41 -4 + 8x + (-6 + 9x) = 41 Reorder the terms: -4 + -6 + 8x + 9x = 41 Combine like terms: -4 + -6 = -10 -10 + 8x + 9x = 41 Combine like terms: 8x + 9x = 17x -10 + 17x = 41 Solving -10 + 17x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 17x = 41 + 10 Combine like terms: -10 + 10 = 0 0 + 17x = 41 + 10 17x = 41 + 10 Combine like terms: 41 + 10 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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