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Simplifying 3(2x + -1) + 1 = -2(2x + 9) Reorder the terms: 3(-1 + 2x) + 1 = -2(2x + 9) (-1 * 3 + 2x * 3) + 1 = -2(2x + 9) (-3 + 6x) + 1 = -2(2x + 9) Reorder the terms: -3 + 1 + 6x = -2(2x + 9) Combine like terms: -3 + 1 = -2 -2 + 6x = -2(2x + 9) Reorder the terms: -2 + 6x = -2(9 + 2x) -2 + 6x = (9 * -2 + 2x * -2) -2 + 6x = (-18 + -4x) Solving -2 + 6x = -18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + 6x + 4x = -18 + -4x + 4x Combine like terms: 6x + 4x = 10x -2 + 10x = -18 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 10x = -18 + 0 -2 + 10x = -18 Add '2' to each side of the equation. -2 + 2 + 10x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = -18 + 2 10x = -18 + 2 Combine like terms: -18 + 2 = -16 10x = -16 Divide each side by '10'. x = -1.6 Simplifying x = -1.6
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