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Simplifying 3(2x + 10) = -2(3x + -3) Reorder the terms: 3(10 + 2x) = -2(3x + -3) (10 * 3 + 2x * 3) = -2(3x + -3) (30 + 6x) = -2(3x + -3) Reorder the terms: 30 + 6x = -2(-3 + 3x) 30 + 6x = (-3 * -2 + 3x * -2) 30 + 6x = (6 + -6x) Solving 30 + 6x = 6 + -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. 30 + 6x + 6x = 6 + -6x + 6x Combine like terms: 6x + 6x = 12x 30 + 12x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 30 + 12x = 6 + 0 30 + 12x = 6 Add '-30' to each side of the equation. 30 + -30 + 12x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 12x = 6 + -30 12x = 6 + -30 Combine like terms: 6 + -30 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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