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Simplifying 2x + -9 + 2(2x + 3) = -6(x + 3) Reorder the terms: 2x + -9 + 2(3 + 2x) = -6(x + 3) 2x + -9 + (3 * 2 + 2x * 2) = -6(x + 3) 2x + -9 + (6 + 4x) = -6(x + 3) Reorder the terms: -9 + 6 + 2x + 4x = -6(x + 3) Combine like terms: -9 + 6 = -3 -3 + 2x + 4x = -6(x + 3) Combine like terms: 2x + 4x = 6x -3 + 6x = -6(x + 3) Reorder the terms: -3 + 6x = -6(3 + x) -3 + 6x = (3 * -6 + x * -6) -3 + 6x = (-18 + -6x) Solving -3 + 6x = -18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -3 + 6x + 6x = -18 + -6x + 6x Combine like terms: 6x + 6x = 12x -3 + 12x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 12x = -18 + 0 -3 + 12x = -18 Add '3' to each side of the equation. -3 + 3 + 12x = -18 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = -18 + 3 12x = -18 + 3 Combine like terms: -18 + 3 = -15 12x = -15 Divide each side by '12'. x = -1.25 Simplifying x = -1.25
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