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Simplifying 2(5x + 20) = 2(3x + 6) Reorder the terms: 2(20 + 5x) = 2(3x + 6) (20 * 2 + 5x * 2) = 2(3x + 6) (40 + 10x) = 2(3x + 6) Reorder the terms: 40 + 10x = 2(6 + 3x) 40 + 10x = (6 * 2 + 3x * 2) 40 + 10x = (12 + 6x) Solving 40 + 10x = 12 + 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. 40 + 10x + -6x = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x 40 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + 4x = 12 + 0 40 + 4x = 12 Add '-40' to each side of the equation. 40 + -40 + 4x = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 4x = 12 + -40 4x = 12 + -40 Combine like terms: 12 + -40 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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