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Simplifying 2(3x + 5) = 2(6x + -10) Reorder the terms: 2(5 + 3x) = 2(6x + -10) (5 * 2 + 3x * 2) = 2(6x + -10) (10 + 6x) = 2(6x + -10) Reorder the terms: 10 + 6x = 2(-10 + 6x) 10 + 6x = (-10 * 2 + 6x * 2) 10 + 6x = (-20 + 12x) Solving 10 + 6x = -20 + 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. 10 + 6x + -12x = -20 + 12x + -12x Combine like terms: 6x + -12x = -6x 10 + -6x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -6x = -20 + 0 10 + -6x = -20 Add '-10' to each side of the equation. 10 + -10 + -6x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -20 + -10 -6x = -20 + -10 Combine like terms: -20 + -10 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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