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Simplifying -3(3 + -2x) + 2(2x + 3) = 3 + -6(3 + -2x) (3 * -3 + -2x * -3) + 2(2x + 3) = 3 + -6(3 + -2x) (-9 + 6x) + 2(2x + 3) = 3 + -6(3 + -2x) Reorder the terms: -9 + 6x + 2(3 + 2x) = 3 + -6(3 + -2x) -9 + 6x + (3 * 2 + 2x * 2) = 3 + -6(3 + -2x) -9 + 6x + (6 + 4x) = 3 + -6(3 + -2x) Reorder the terms: -9 + 6 + 6x + 4x = 3 + -6(3 + -2x) Combine like terms: -9 + 6 = -3 -3 + 6x + 4x = 3 + -6(3 + -2x) Combine like terms: 6x + 4x = 10x -3 + 10x = 3 + -6(3 + -2x) -3 + 10x = 3 + (3 * -6 + -2x * -6) -3 + 10x = 3 + (-18 + 12x) Combine like terms: 3 + -18 = -15 -3 + 10x = -15 + 12x Solving -3 + 10x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 10x + -12x = -15 + 12x + -12x Combine like terms: 10x + -12x = -2x -3 + -2x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -2x = -15 + 0 -3 + -2x = -15 Add '3' to each side of the equation. -3 + 3 + -2x = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -15 + 3 -2x = -15 + 3 Combine like terms: -15 + 3 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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