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Simplifying 3 + -1(2x + 18) = 41 + -9x Reorder the terms: 3 + -1(18 + 2x) = 41 + -9x 3 + (18 * -1 + 2x * -1) = 41 + -9x 3 + (-18 + -2x) = 41 + -9x Combine like terms: 3 + -18 = -15 -15 + -2x = 41 + -9x Solving -15 + -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. -15 + -2x + 9x = 41 + -9x + 9x Combine like terms: -2x + 9x = 7x -15 + 7x = 41 + -9x + 9x Combine like terms: -9x + 9x = 0 -15 + 7x = 41 + 0 -15 + 7x = 41 Add '15' to each side of the equation. -15 + 15 + 7x = 41 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 41 + 15 7x = 41 + 15 Combine like terms: 41 + 15 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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