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Simplifying 6(2x + 5) = 2x + 40 Reorder the terms: 6(5 + 2x) = 2x + 40 (5 * 6 + 2x * 6) = 2x + 40 (30 + 12x) = 2x + 40 Reorder the terms: 30 + 12x = 40 + 2x Solving 30 + 12x = 40 + 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. 30 + 12x + -2x = 40 + 2x + -2x Combine like terms: 12x + -2x = 10x 30 + 10x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 10x = 40 + 0 30 + 10x = 40 Add '-30' to each side of the equation. 30 + -30 + 10x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 40 + -30 10x = 40 + -30 Combine like terms: 40 + -30 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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