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Simplifying 3(6 + -2) = -2(3x + -9) Combine like terms: 6 + -2 = 4 3(4) = -2(3x + -9) Multiply 3 * 4 12 = -2(3x + -9) Reorder the terms: 12 = -2(-9 + 3x) 12 = (-9 * -2 + 3x * -2) 12 = (18 + -6x) Solving 12 = 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. 12 + 6x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 6x = 18 + 0 12 + 6x = 18 Add '-12' to each side of the equation. 12 + -12 + 6x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 18 + -12 6x = 18 + -12 Combine like terms: 18 + -12 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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