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Simplifying 2(3x + 5) + 5(2x + -1) = 1 Reorder the terms: 2(5 + 3x) + 5(2x + -1) = 1 (5 * 2 + 3x * 2) + 5(2x + -1) = 1 (10 + 6x) + 5(2x + -1) = 1 Reorder the terms: 10 + 6x + 5(-1 + 2x) = 1 10 + 6x + (-1 * 5 + 2x * 5) = 1 10 + 6x + (-5 + 10x) = 1 Reorder the terms: 10 + -5 + 6x + 10x = 1 Combine like terms: 10 + -5 = 5 5 + 6x + 10x = 1 Combine like terms: 6x + 10x = 16x 5 + 16x = 1 Solving 5 + 16x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 16x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 16x = 1 + -5 16x = 1 + -5 Combine like terms: 1 + -5 = -4 16x = -4 Divide each side by '16'. x = -0.25 Simplifying x = -0.25
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