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Simplifying 6(2x + 5) + 20 = 2x + 10 Reorder the terms: 6(5 + 2x) + 20 = 2x + 10 (5 * 6 + 2x * 6) + 20 = 2x + 10 (30 + 12x) + 20 = 2x + 10 Reorder the terms: 30 + 20 + 12x = 2x + 10 Combine like terms: 30 + 20 = 50 50 + 12x = 2x + 10 Reorder the terms: 50 + 12x = 10 + 2x Solving 50 + 12x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 50 + 12x + -2x = 10 + 2x + -2x Combine like terms: 12x + -2x = 10x 50 + 10x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 50 + 10x = 10 + 0 50 + 10x = 10 Add '-50' to each side of the equation. 50 + -50 + 10x = 10 + -50 Combine like terms: 50 + -50 = 0 0 + 10x = 10 + -50 10x = 10 + -50 Combine like terms: 10 + -50 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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