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Simplifying 3(x + 3) = -2(2x + 6) Reorder the terms: 3(3 + x) = -2(2x + 6) (3 * 3 + x * 3) = -2(2x + 6) (9 + 3x) = -2(2x + 6) Reorder the terms: 9 + 3x = -2(6 + 2x) 9 + 3x = (6 * -2 + 2x * -2) 9 + 3x = (-12 + -4x) Solving 9 + 3x = -12 + -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. 9 + 3x + 4x = -12 + -4x + 4x Combine like terms: 3x + 4x = 7x 9 + 7x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 7x = -12 + 0 9 + 7x = -12 Add '-9' to each side of the equation. 9 + -9 + 7x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = -12 + -9 7x = -12 + -9 Combine like terms: -12 + -9 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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