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Simplifying 3(x + -3) + 4(x + 2) = 41 Reorder the terms: 3(-3 + x) + 4(x + 2) = 41 (-3 * 3 + x * 3) + 4(x + 2) = 41 (-9 + 3x) + 4(x + 2) = 41 Reorder the terms: -9 + 3x + 4(2 + x) = 41 -9 + 3x + (2 * 4 + x * 4) = 41 -9 + 3x + (8 + 4x) = 41 Reorder the terms: -9 + 8 + 3x + 4x = 41 Combine like terms: -9 + 8 = -1 -1 + 3x + 4x = 41 Combine like terms: 3x + 4x = 7x -1 + 7x = 41 Solving -1 + 7x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7x = 41 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 41 + 1 7x = 41 + 1 Combine like terms: 41 + 1 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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