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Simplifying -2(9 + -1x) + 5x = 3(x + 2) (9 * -2 + -1x * -2) + 5x = 3(x + 2) (-18 + 2x) + 5x = 3(x + 2) Combine like terms: 2x + 5x = 7x -18 + 7x = 3(x + 2) Reorder the terms: -18 + 7x = 3(2 + x) -18 + 7x = (2 * 3 + x * 3) -18 + 7x = (6 + 3x) Solving -18 + 7x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 7x + -3x = 6 + 3x + -3x Combine like terms: 7x + -3x = 4x -18 + 4x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 4x = 6 + 0 -18 + 4x = 6 Add '18' to each side of the equation. -18 + 18 + 4x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = 6 + 18 4x = 6 + 18 Combine like terms: 6 + 18 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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