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Simplifying 3x + -1(2 + -1x) = 18 + -1(2x + 2) 3x + (2 * -1 + -1x * -1) = 18 + -1(2x + 2) 3x + (-2 + 1x) = 18 + -1(2x + 2) Reorder the terms: -2 + 3x + 1x = 18 + -1(2x + 2) Combine like terms: 3x + 1x = 4x -2 + 4x = 18 + -1(2x + 2) Reorder the terms: -2 + 4x = 18 + -1(2 + 2x) -2 + 4x = 18 + (2 * -1 + 2x * -1) -2 + 4x = 18 + (-2 + -2x) Combine like terms: 18 + -2 = 16 -2 + 4x = 16 + -2x Solving -2 + 4x = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 4x + 2x = 16 + -2x + 2x Combine like terms: 4x + 2x = 6x -2 + 6x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 6x = 16 + 0 -2 + 6x = 16 Add '2' to each side of the equation. -2 + 2 + 6x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 16 + 2 6x = 16 + 2 Combine like terms: 16 + 2 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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