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